Apply The Pythagorean Theorem Answer Key In this topic we ll figure out how to use the Pythagorean theorem and prove why it works Pythagorean theorem Learn Intro to the Pythagorean theorem Pythagorean theorem example Pythagorean theorem intro problems Practice Use Pythagorean theorem to find right triangle side lengths Practice
This calculator solves the Pythagorean Theorem equation for sides a or b or the hypotenuse c The hypotenuse is the side of the triangle opposite the right angle For right triangles only enter any two values to find the third See the solution with steps using the Pythagorean Theorem formula Step 1 Identify the legs and the hypotenuse of the right triangle The legs have length 6 and 8 X is the hypotenuse because it is opposite the right angle Step 2 Substitute values into the formula remember C is the hypotenuse A 2 B 2 C 2 6 2 8 2 X 2 Step 3 Solve for the unknown A 2 B 2 X 2 100 X 2 100 X 10 X
Apply The Pythagorean Theorem Answer Key
Apply The Pythagorean Theorem Answer Key
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Applications Of Pythagorean Theorem 1 YouTube
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48 Pythagorean Theorem Worksheet With Answers Word PDF
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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 A B C The hypotenuse is the longest side opposite the right angle Created by Sal Khan Questions Tips Thanks Want to join the conversation Answer Key Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Index Learning Objectives By the end of this section you will be able to Use the Pythagorean Theorem In the following exercises use the Pythagorean Theorem to find the length of the hypotenuse 109 110
Here s the Pythagorean Theorem formula for your quick reference Problem 1 Find the value of latex x latex in the right triangle Problem 2 Find the value of latex x latex in the right triangle Problem 3 Find the value of latex x latex in the right triangle Problem 4 The legs of a right triangle are latex 5 latex and Draw the diagonal of the square in the figure Figure 1 4 3 1 4 3 Notice that the diagonal of the square is also the diameter of the circle Define variables Let c diameter of the circle c diameter of the circle Write the formula Use the Pythagorean Theorem a2 b2 c2 a 2 b 2 c 2
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ANSWER KEY 48 14 x x 8 16 10 6 x 1 2 3 4 5 6 Pythagorean Theorem Basic Answer x 12 Answer x 20 Answer x 12 Answer x 8 Answer x 6 10 8 x 32 24 x Figure 3 4 1 3 4 1 Triangle ABC has vertices A A B B and C C The lengths of the sides are a a b b and c c The three angles of a triangle are related in a special way The sum of their measures is 180 180 Note that we read m A m A as the measure of angle A So in ABC A B C in Figure 3 4 1 3 4
The Pythagorean Theorem says that a2 b2 c2 a 2 b 2 c 2 In this example the legs are known Substitute 4 for a and 3 for b 3 for a and 4 for b works equally well into the Pythagorean equation 42 32 c2 4 2 3 2 c 2 3 Solve the Equation 42 32 c2 16 9 c2 25 c2 5 c The Pythagorean equation P Z2s0a1 L2C TKkuRt gae MSco5f NthwkawrseY 2L GL3C W 8 R sAPlflY dr Ciyg 5hAt4s7 krRePs ce Krqv IeCdo l z hMUaBdke 4 zwSibtGh S yI Snaf 1iQn7iqtBe4 FPHrQe6 rA fl ogze Jb frza R g Worksheet by Kuta Software LLC
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Quiz 8 1 Pythagorean Theorem And Special Right Triangles Answer Key
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Apply The Pythagorean Theorem Answer Key - Here s the Pythagorean Theorem formula for your quick reference Problem 1 Find the value of latex x latex in the right triangle Problem 2 Find the value of latex x latex in the right triangle Problem 3 Find the value of latex x latex in the right triangle Problem 4 The legs of a right triangle are latex 5 latex and