Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 8 - Right Triangles and Trigonometry - Mid-Chapter Quiz - Page 515: 2



Work Step by Step

Because of the marking on the triangle, we see that x is equal to 10. The Pythagorean Theorem states that for any right triangle, $a^{2} + b^{2} =c^{2},$ where c is the length of the hypotenuse and a and b are the length of the other two sides. Plugging in the dimensions of the given triangle into the Pythagorean Theorem, we obtain: $$10^2 + 10^2 =y^{2} \\\\ 200=y^{2} \\\\ y=\sqrt{200} \\ y=10\sqrt{2}$$
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