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 - Mid-Chapter Quiz - Page 632: 11


Yes, this is a right triangle.

Work Step by Step

The legs are 60 and 80. The hypotenuse is 100. Plug the values into the Pythagorean Theorem $a^{2}$ + $b^{2}$= $c^{2}$ --> $60^{2}$ + $80^{2}$= $100^{2}$: $60^{2}$ + $80^{2}$= $100^{2}$ -simplify exponents- 3600+6400=10000-add like terms- 10000=10000 -compare: they are equal so this is a right triangle- This is a right triangle
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