Pythagorean theorem crack the code answer key

Use one or more keywords from one of our worksheet pages. This search only finds the A versions of each math worksheet. Once you visit the A version, you will be able to see any other versions that exist. Search for Pythagorean Theorem at Math-Drills.com - Page 1 - Weekly Sort.

This Eighth Grade Converse of the Pythagorean Theorem Crack the Code Activity is perfect for your class! This activity has nine practice problems. Students will decide if each set of numbers forms a right triangle. They will use their answers to crack the code and solve two riddles. This would be great for independent work or homework. An answer key is included.Practice using and Pythagorean theorem till find the missing leg conversely hypotenuse lengths of right triangles in this eighth-grade geometry worksheet! Popular searches: Reading , Monetary , Fractions , Sight Words , MultiplicationAre you ready to dive into the exciting world of coding? Whether you’re a complete beginner or just looking to expand your skillset, learning how to code can open up a world of opp...Answer: The length of the hypotenuse is 26 feet. Explanation: According to Pythagorean Theorem, we shall consider values of a = 24ft, b = 10ft. Therefore c = √ (a 2 +b 2) c = √ (24 2 + 10 2) = √ (576 + 100) = √676 = 26ft. Question 2. Mr. Woo wants to ship a fishing rod that is 42 inches long to his son.Pythagorean Theorem Crack The Code Answer Key ebook download or read online. In today digital age, eBooks have become a staple for both leisure and learning. The convenience of accessing Pythagorean Theorem Crack The Code Answer Key and various genres has transformed the wayCivil War Animated Map Questions-Teacher Answer Key-HS-TD. Grade 5 SS FAT Term 1 History Final assessment March 2022. Galapagos Finch Evolution KEY-1. Rivoluzione americana e francese. In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a …This Eighth Grade Pythagorean Theorem Triangle Tangle Activity would be great as an extension or a challenge activity! Students will use their knowledge of the Pythagorean Theorem to find the length of multiple sides of triangles in order to find the last value of x. This would also be fun as an after-test activity or independent activity. An answer key is …

Comment from JosephDoggie on the question:. Very famously, the scarecrow in the Wizard of Oz movie ($1939$) misquotes the Pythagorean Theorem.Looking up the quote on Google gives this resource which gives this bit of info:. At the end of The Wizard of Oz, the Scarecrow receives a diploma and then immediately says, "The sum of the …4 Pythagorean Theorem Crack The Code Answer Key 2022-10-25 materials and materials selection (moved to chapter 3),revised coverage of failure and fatigue, and review of basic strength of materials topics to make a clearer link with prerequisite courses. Overall coverage of basic concepts has been made more clear and concise, with some advanced ...Special Right Triangles are triangles whose angles are in a particular ratio (30°, 60°, 90° and 45°, 45°, 90°). You can find the right triangle's third side by using the Pythagorean Theorem. It will become more best when you already know the two sides. There are some triangles, such as 45-45-90 and 30-60-90 triangles.2 Pythagorean Theorem Crack The Code Answer Key 2022-11-16 AP® test questions. It covers only the information tested on the exams, so you can make the most of your valuable study time. Written by an experienced AP® Calculus instructor, the targeted review chapters prepare students for the test by only focusing on the topics tested on theThis question tests your understanding of the Pythagorean Theorem. Adding up the number of yards Loto walked east and north separately, we end up with 20 yards east and 11 yards north. To find the distance Loto would walk if he could walk directly, we apply the Pythagorean theorem to get the equation: Solving for x we end up with x …State the Pythagorean Theorem and tell how you can use it to solve problems. Answer: Pythagorean Theorem: In a right triangle, the sum of squares of the legs a and b is equal to the square of the hypotenuse c. a 2 + b 2 = c 2 We can use it to find the length of a side of a right triangle when the lengths of the other two sides are known.About this unit. The Pythagorean theorem describes a special relationship between the sides of a right triangle. Even the ancients knew of this relationship. In this topic, we’ll …Meerkat communication - Meerkat communication ensures the mob's safety and survival. Read about meerkat communication and how meerkat sentinels keep gang members informed. Advertis...

You will find included: - two worksheets showing how the theorem can be used in 'real life' scenarios. - a codebreaker worksheet. Solve the Pythagorean theorem problems to crack the code and answer the riddle. - answer sheets. Further Pythagorean Theorem activities are available in my store: PYTHAGORAS CATEGORY - see below the featured products.Pythagorean Theorem: Crack the Code Solve for the missing side length in each of 10 right triangles with Pythagorean Theorem: Crack the Code! After solving each problem, use the answers to crack the code and reveal the punchline to the joke at the bottom of the page!This digital Crack the Code worksheet reinforces the concept of the Pythagorean Theorem. Students will solve 16 problems and record answers in text boxes to complete a magic square puzzle. That magic square will be used to crack a 4-digit code! Please see the preview for details! Answer key included!The Pythagorean Theorem states that a² + b² = c². This is used when we are given a triangle in which we only know the length of two of the three sides. C is the longest side of the angle known as the hypotenuse. If a is the adjacent angle then b is the opposite side. If b is the adjacent angle then a is the opposite side. Solve the Pythagorean theorem problems to crack the code and answer the riddle.- answer sheets.Further Pythagorean Theorem activities are available in my store:PYTHAGORAS CATEGORY - see below the featured products. Digital Activity Available:If you decide to use this version of the resource, notes and a Kara made this Pythagorean Theorem Partner Scavenger Hunt activity. This new "2 truths and a lie" Pythagorean Theorem activity asks students to find errors when presented with a missing hypotenuse or missing leg …

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A short equation, Pythagorean Theorem can be written in the following manner: a²+b²=c². In Pythagorean Theorem, c is the triangle’s longest side while b and a make up the other two sides. The longest side of the triangle in the Pythagorean Theorem is referred to as the ‘hypotenuse’.Given Angelina must follow the black arrow to the flag. Using the Pythagorean Theorem to determine how far she runs. a 2 + b 2 = c 2, 150 2 + 85 2 = c 2, 22,500 + 7,225 = c 2, c 2 = 29,725, So c is equal to sqaure root of 29,725 we get c = 172.4 round to the nearest tenth is 172. Therefore Angelina runs 172 meters.Answer: The length of the hypotenuse is 26 feet. Explanation: According to Pythagorean Theorem, we shall consider values of a = 24ft, b = 10ft. Therefore c = √ (a 2 +b 2) c = √ (24 2 + 10 2) = √ (576 + 100) = √676 = 26ft. Question 2. Mr. Woo wants to ship a fishing rod that is 42 inches long to his son.Do you have a collection of old records gathering dust in your attic or basement? Have you ever wondered if those records have any value? Well, look no further. In this article, we...

Solve the Pythagorean theorem problems to crack the code and answer the riddle.- answer sheets.Further Pythagorean Theorem activities are available in my store:PYTHAGORAS CATEGORY - see below the featured products. Digital Activity Available:If you decide to use this version of the resource, notes and a In the world of publishing, getting your work noticed by the right people can be a daunting task. With countless manuscripts flooding publishers’ inboxes every day, standing out fr...Have you ever wondered how intelligent you are? IQ tests have long been used as a measure of cognitive ability and are often seen as a benchmark for intelligence. However, not all ...Explain the steps involved in finding the sides of a right triangle using Pythagoras theorem. Step 1: To find the unknown sides of a right triangle, plug the known values in the Pythagoras theorem formula. Step 2: Simplify the equation to find the unknown side. Step 3: Solve the equation for the unknown side. Q8.The problem asked to code a calculator to calculate the Pythagorean Theorem. The bit about returning an integer if it could was just me being annoyed at .0's. \$\endgroup\$ – Will K. Aug 10, 2018 at 6:10 ... Thanks for contributing an answer to Code Review Stack Exchange!In this lesson plan, students will learn about the Pythagorean Theorem proofs, legs and hypotenuse, right triangles, and their real-life applications. Through artistic, interactive guided notes, check for understanding, a color by code activity, and a real-life application example, students will gain a comprehensive understanding of the ...Have you ever wondered how intelligent you are? IQ tests have long been used as a measure of cognitive ability and are often seen as a benchmark for intelligence. However, not all ...All pictures have a colored answer key. Here's how it works: solve a math problem, match the answer to a letter in the answer box, and use that letter to color the picture. It's a super fun way to learn math while being creative! Please leave your feedback on this resource to earn credit points to save money on future purchases! Pythagorean Theorem: Crack the Code Solve for the missing side length in each of 10 right triangles with Pythagorean Theorem: Crack the Code! After solving each problem, use the answers to crack the code and reveal the punchline to the joke at the bottom of the page! Use one or more keywords from one of our worksheet pages. This search only finds the A versions of each math worksheet. Once you visit the A version, you will be able to see any other versions that exist. Search for Pythagorean Theorem at Math-Drills.com - Page 1 - Weekly Sort.Are you a crossword enthusiast looking to take your puzzle-solving skills to the next level? If so, then cryptic crosswords may be just the challenge you’ve been seeking. Cryptic c...8) A right triangle has legs of 52.6 cm and 35.7 cm. Determine the length of the triangle’s hypotenuse. 9) A right triangle has a hypotenuse of 152.6 m. The length of one of the other sides is 89.4 m. Determine the length of the third side. 10) For each of the following, the side lengths of a triangle are given.

Practice using the Pythagorean theorem in find the missing leg or hyperpodes lengths of law triangles in this eighth-grade geometry worksheet! Popular searches: Reading , Money , Fractions , Sight Words , Multiplication

Here are eight (8) Pythagorean Theorem problems for you to solve. You might need to find either the leg or the hypotenuse of the right triangle. These problems vary in type and …Pythagorean Theorem Crack The Code Answer Key This is likewise one of the factors by obtaining the soft documents of this Pythagorean Theorem Crack The Code Answer Key by online. You might not require more become old to spend to go to the ebook establishment as skillfully as search for them. In some cases, you likewise accomplish …The Pythagorean Theorem. If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. This relationship is represented by the formula: a2 + b2 = c2. In the box above, you may have noticed the …The Winter Solstice is only a few days away, but here in the temperate South we still have weeds growing. If you need a handy way to kill weeds, especially those that grow in sidew...12. Which side length would be considered c? 9,12,10. 12. Find b: a=5 b=? c=13. Either of the two shortest sides of a right triangle, they meet at a common vertex to form a right angle. leg. The longest side of a right triangle. It is always opposite of, and never is a part of, the right angle. hypotenuse.The Pythagorean Theorem Date_____ Period____ Do the following lengths form a right triangle? 1) 6 8 9 No 2) 5 12 13 Yes 3) 6 8 10 Yes 4) 3 4 5 YesDescription. About this resource: This document contains a Crack the Code worksheet that reinforces the concept of the Exterior Angle Theorem. Students will solve 12 problems and shade in corresponding answers. Shaded answers will reveal a number that will help crack a 3-digit code! Please see the preview for details! Answer key included!This document contains a Crack the Code worksheet that reinforces the concept of the Pythagorean Theorem. Students will solve 16 problems and record answers to …Pythagoras Codebreaker. Subject: Mathematics. Age range: 11-14. Resource type: Worksheet/Activity. File previews. docx, 47.44 KB. docx, 47.38 KB. An extremely lame joke but some Pythagoras questions to calculate. Eight questions in total so ideal for a quick homework, plenary or starter; four questions have diagrams and four …KEY CONCEPT. The Pythagorean Theorem is an equation that relates the side lengths of a right triangle, ... Answer: The Pythagorean theorem is a way of relating the leg lengths of a right triangle to the length of the hypotenuse, which is the side opposite the right angle. Even though it is written in these terms, it can be used to find any of ...

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So a is equal to the square root of 16 times 49. I picked those numbers because they're both perfect squares. So this is equal to the square root of 16 is 4, times the square root of 49 is 7. It's equal to 28. So this side right here is going to be equal to 28, by the Pythagorean theorem. Let's do one more of these.The correct answer is 13 inches. The Pythagorean Theorem states that \(a^2+b^2=c^2\), where a and b are the legs of the right triangle, and c is the hypotenuse. When the values for a and b are plugged into the equation, we have \(5^2+12^2=c^2\), which simplifies to \(25+144=c^2\). This then simplifies to \(169=c^2\).A "Hulu for magazines" is around the bend, APIs are key to the future of music, and a web service uses the cloud to crack WPA passwords. A "Hulu for magazines" is around the bend, ...4 Pythagorean Theorem Crack The Code Answer Key 2022-09-10 a better test-taker and a stronger mathematician. Mechanical Engineering Design Harper Collins This text was produced for the second part of a two-part sequence on advanced calculus, whose aim is to provide a firm logical foundation for analysis. The first part treats analysis in one ...The correct answer is 13 inches. The Pythagorean Theorem states that \(a^2+b^2=c^2\), where a and b are the legs of the right triangle, and c is the hypotenuse. When the values for a and b are plugged into the equation, we have \(5^2+12^2=c^2\), which simplifies to \(25+144=c^2\). This then simplifies to \(169=c^2\).Enjoy learning about the Pythagorean theorem with these activities. You will find included: - two worksheets showing how the theorem can be used in 'real life' scenarios. - a …4 Pythagorean Theorem Crack The Code Answer Key 2023-05-18 Princeton University Press The grade-saving Algebra I companion, with hundreds of additional practice problems online Algebra I Workbook For Dummies is your solution to the Algebra brain-block. With hundreds of practice and example problems mapped to the typical high school Algebra ...Pythagorean Theorem: Crack the Code Worksheet Practice using the Pythagorean theorem to find the missing leg or hypotenuse lengths of right triangles in this eighth-grade geometry worksheet! ….

Step 1: Enter the values of any two angles and any one side of a triangle below for which you want to find the length of the remaining two sides. The Pythagorean theorem calculator finds the length of the remaining two sides of a given triangle using sine law or definitions of trigonometric functions. If a given triangle is a right angle ...Key Elements of a Geometry Student Journal. 1. Definitions: Document and define key geometric terms, such as point, line, angle, triangle, etc. Include clear and concise explanations, as well as visual representations or diagrams to enhance understanding. 2. Theorems: Record and prove important theorems and postulates.Kara made this Pythagorean Theorem Partner Scavenger Hunt activity. This new "2 truths and a lie" Pythagorean Theorem activity asks students to find errors when presented with a missing hypotenuse or missing leg …Pythagorean Theorem Crack The Code Answer Key This is likewise one of the factors by obtaining the soft documents of this Pythagorean Theorem Crack The Code Answer Key by online. You might not require more become old to spend to go to the ebook establishment as skillfully as search for them. In some cases, you likewise accomplish …Pythagorean Theorem - 8th Grade Math:Get this as part of my ⭐8th Grade Math Escape Room Bundle⭐PDF AND GOOGLE FORM CODE INCLUDED. It is a great way for students to work together and review their knowledge of the 8th Grade Pythagorean Theorem Standards. There are a total of 4 tasks/puzzles included a...COLOR BY CODES THE PYTHAGOREAN THEOREM AND ITS CONVERSE 13 25 10 8 6.7 4.4 40 84 10 12 8.2 127.3 8.2 8.2 8 6.7 ... Answer the questions - find your answer on Santa-Claus - color according to your answers. 1. If c is the hypotenuse of the right triangle ABC with sides a, b, c and a = 12, b = 5, then c = _____. (BLACK) 2.According to the definition of the Pythagorean theorem, the formula would be written as: c 2 = a 2 + b 2. When a triangle has a right-angle, we can use the sum of the squares of each leg of the triangle to find the squared value of the hypotenuse. It can be rearranged to find the length of any of the sides. The Pythagorean Theorem has so many ...The answers might be wrong, but I tried my best. I am in no way qualified to do this, just trying to help a friend. The answers might be wrong, but I tried my best.Find the missing side of each triangle. Leave your answers in simplest radical form. 5) x 13 yd 15 yd 2 14 yd 6) 8 km x 16 km 8 3 km Find the missing side of each right triangle. Side c is the hypotenuse. Sides a and b are the legs. Leave your answers in simplest radical form. 7) a = 11 m, c = 15 m 2 26 m 8) b = 6 yd, c = 4 yd 10 yd-1- Pythagorean theorem crack the code answer key, 4 Pythagorean Theorem Crack The Code Answer Key 2022-06-27 applications are no longer integrated throughout the text, examples and problem sets. Other major changes include updated coverage of the design process, streamlined coverage of statistics, a more practical overview of materials and materials selection (moved to chapter 3),revised coverage , Pythagorean Theorem Tarsia Puzzle. In a right triangle with sides A, B, and hypotenuse C,. -Answer Key. Sep 15, 2023 · Crack The Code Worksheet Pythagorean. In the triangle above, the hypotenuse is the side AB which is opposite the right angle, ∠C ∠ C. The theorem is named for the Greek philosopher Pythagoras, born around 570 BC. A well ..., Section 6.2 The Pythagorean Theorem 239 EXAMPLE 2 Finding the Length of a Leg Find the missing length of the triangle. a 2 + b 2 = c 2 Write the Pythagorean Theorem. a 2 + 2.12 = 2.9 2 Substitute 2.1 for b and 2.9 for c. a 2 + 4.41 = 8.41 Evaluate powers. a 2 = 4 Subtract 4.41 from each side. a = 2 Take positive square root of each side. The length of …, Pythagorean Theorem Activity Bundle. Use the Pythagorean Theorem to solve problems in a variety of ways using the activities included in this bundle.Calculate distances on a map, solve 'real life' problems and complete a codebreaker challenge.Please find below a link that should help with any possible printing issues:What if my file is. 5. , Are you ready to embark on an exciting adventure in Pet Simulator X? This popular game allows players to collect and train a variety of virtual pets, each with their own unique abi..., State the Pythagorean Theorem and tell how you can use it to solve problems. Answer: Pythagorean Theorem: In a right triangle, the sum of squares of the legs a and b is equal to the square of the hypotenuse c. a 2 + b 2 = c 2 We can use it to find the length of a side of a right triangle when the lengths of the other two sides are known., Solve for the missing side length in each of the 10 right triangles with the Pythagorean Theorem: Crack the Code! After solving each problem, use the answers to crack the code and reveal the punchline to the joke at the bottom of the page! This eighth-grade geometry worksheet will provide learners w... , Comment from JosephDoggie on the question:. Very famously, the scarecrow in the Wizard of Oz movie ($1939$) misquotes the Pythagorean Theorem.Looking up the quote on Google gives this resource which gives this bit of info:. At the end of The Wizard of Oz, the Scarecrow receives a diploma and then immediately says, "The sum of the …, Jul 23, 2022 · Given Angelina must follow the black arrow to the flag. Using the Pythagorean Theorem to determine how far she runs. a 2 + b 2 = c 2, 150 2 + 85 2 = c 2, 22,500 + 7,225 = c 2, c 2 = 29,725, So c is equal to sqaure root of 29,725 we get c = 172.4 round to the nearest tenth is 172. Therefore Angelina runs 172 meters. , In today’s fast-paced world, acronyms are everywhere. From business and technology to healthcare and education, acronyms have become an integral part of our daily lives. However, d..., 2 Pythagorean Theorem Crack The Code Answer Key 2022-11-16 AP® test questions. It covers only the information tested on the exams, so you can make the most of your valuable study time. Written by an experienced AP® Calculus instructor, the targeted review chapters prepare students for the test by only focusing on the topics tested on the, Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more., The Pythagorean Theorem Workbook Maria Miller,2017-01-10 This is a relatively short workbook focusing on the Pythagorean Theorem and its applications. The Pythagorean Theorem is actually not part of the Common Core Standards for seventh grade. The Common Core places it in eighth grade. However, I have included it in this curriculum because it is a, The pythagorean theorem is believed to have been was discovered on a babylonian tablet circa 1900 1600 b c. Pythagorean theorem worksheet answer key . Pythagorean . 12 x 14 lean to shed plans fresno bee crime., Pythagorean Theorem. Let \(c\) represent the length of the hypotenuse of a right triangle, and let a and b represent the lengths of its legs, as pictured in the image that follows. The relationship involving the legs and hypotenuse of the right triangle, given by \[a^2 + b^2 = c^2,\nonumber \] is called the Pythagorean Theorem., PYTHAGOREAN THEOREM UNIT NINE: ANSWER KEY ©MANEUVERINC THE MIDDLE, 2017 Unit: Pythagorean Theorem Review Name Date PYTHAGOREAN TUCORCM STUDY WIDE Solve each of the problems below, and round all solutions to the nearest tenth when necessary. Be sure to ask questions if you need more help with a topic., Explain the steps involved in finding the sides of a right triangle using Pythagoras theorem. Step 1: To find the unknown sides of a right triangle, plug the known values in the Pythagoras theorem formula. Step 2: Simplify the equation to find the unknown side. Step 3: Solve the equation for the unknown side. Q8., Pythagorean number. Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2. Although the theorem has long been associated with Greek mathematician-philosopher ... , Apr 5, 2021 · Eureka Math Grade 8 Module 3 Lesson 13 Problem Set Answer Key. Students practice using the Pythagorean theorem to find unknown lengths of right triangles. Use the Pythagorean theorem to determine the unknown length of the right triangle. Question 1. Determine the length of side c in each of the triangles below. a. b. , The answers might be wrong, but I tried my best. I am in no way qualified to do this, just trying to help a friend. The answers might be wrong, but I tried my best., About. Transcript. The Pythagorean theorem is a cornerstone of math that helps us find the missing side length of a right triangle. In a right triangle with sides A, B, and hypotenuse C, the theorem states that A² + B² = C². The hypotenuse is the longest side, opposite the right angle. Created by Sal Khan., 'm struggling with a bit of code for my final Intro to programming in Python homework. The goal is to build a small GUI that calculates the hypotenuse of a right triangle after the user enters the length of 2 sides and hits calculate. I've written a lot of the code but i'm struggling in 2 ways. 1., Are you ready to embark on an exciting adventure in Pet Simulator X? This popular game allows players to collect and train a variety of virtual pets, each with their own unique abi..., The Pythagorean theorem forms the basis of trigonometry and, when applied to arithmetic, it connects the fields of algebra and geometry, according to Mathematica.ludibunda.ch. The ..., Given Angelina must follow the black arrow to the flag. Using the Pythagorean Theorem to determine how far she runs. a 2 + b 2 = c 2, 150 2 + 85 2 = c 2, 22,500 + 7,225 = c 2, c 2 = 29,725, So c is equal to sqaure root of 29,725 we get c = 172.4 round to the nearest tenth is 172. Therefore Angelina runs 172 meters., Practice using the Pythagorean theorem in find the missing leg or hyperpodes lengths of law triangles in this eighth-grade geometry worksheet! Popular searches: Reading , Money , Fractions , Sight Words , Multiplication, The formula relations given by Pythagorean theorem is used to . determine the lengths and area of the given squares and triangles. Responses: 1. Area of a is H: 25. 2. Length of b is I: 5. 3. Length of C is A: 7.94. 4. Area of d is B: 35.73 . Where can the Pythagorean theorem be used to find the lengths and areas of a figure? 1. Given;, Learn how to use Pythagoras Theorem to calculate the lengths of sides and angles in right-angled triangles. Dr Austin Maths provides you with clear explanations, examples, and practice grids with answers. You can also explore the connections between Pythagoras Theorem and other topics such as circle theorems and trigonometry., Zimbabwe is cracking down on social media and mobile money platforms to root out alleged “illegal currency dealers” that the government blames for a plunge in the value of the coun..., Pythagorean Theorem. Let \(c\) represent the length of the hypotenuse of a right triangle, and let a and b represent the lengths of its legs, as pictured in the image that follows. The relationship involving the legs and hypotenuse of the right triangle, given by \[a^2 + b^2 = c^2,\nonumber \] is called the Pythagorean Theorem., Pythagorean Theorem Crack The Code Answer Key 3 3 Data Preparation for Data Mining Springer Science & Business Media After a violent mugging forever altered the way his brain works, the author, the first documented case of acquired savant syndrome with mathematical synesthesia, recounts how he overcame huge setbacks and embraced his unique gifts. , Have you ever come across the term “0. why equals 1” and wondered what it means? In mathematics, factorial is a fundamental concept used to calculate the product of all positive in..., Pythagorean Theorem. c2 = a2 + b2. for any right triangle. a and b are "legs". c is the "hypotenuse". (c is across from the right angle) Interpretation: The Pythagorean Theorem can be interpreted in relation to squares drawn to coincide with each of the sides of a right triangle, as shown at the right. The theorem can be rephrased as, "The ...