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 - Got It? - Page 615: 1

Answer

$15cm$.

Work Step by Step

The Pythagorean Theorem is generally written as: $a^2+b^2=c^2$, in which a and b are the lengths of legs, and c is the length of the hypotenuse in a right triangle. This problem gives us the length of both legs, which is $9cm$ and $12cm$, so we can replace a and b with these values and solve for c. $c^2=a^2+b^2$ $c^2=9^2+12^2=81+144=225$ $c=\sqrt 225=15cm$ Note: $c^2=225$ could yield both $c=15$ and $c=-15$ as solutions in normal equations. However, because lengths could not be negative, we only consider positive solutions in the Pythagorean Theorem.
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