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: 10

Answer

No, this is not a right triangle

Work Step by Step

The legs are 5 and 24. The hypotenuse is 25. Plug the values into the Pythagorean Theorem $a^{2}$ + $b^{2}$= $c^{2}$ --> $5^{2}$ + $24^{2}$= $25^{2}$: $5^{2}$ + $24^{2}$= $25^{2}$ -simplify exponents- 25+576=625 -add like terms- 601=625 -compare: they are not equal so this is not a right triangle- This is not a right triangle
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