Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Practice and Problem-Solving Exercises - Page 618: 39


Yes, they are right angles

Work Step by Step

The legs are 50 and 120 and the hypotenuse is 130. Plug them into the Pythagorean theorem to determine if they are equal $a^{2}$ + $b^{2}$= $c^{2}$-->$50^{2}$ + $120^{2}$= $130^{2}$: $50^{2}$ + $120^{2}$= $130^{2}$ -simplify the exponents- 2500+14400=16900 -add like terms- 16900=16900 -Compare,they are equal so this is a right triangle- Yes, they are right angles.
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