Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Lesson Check - Page 602: 3



Work Step by Step

The hypotenuse is longer than the legs, so if the given measurements are the lengths of the sides of a right triangle then: $12^2+35^2\overset?=37^2\longrightarrow$ use a calculator $144+1225\overset?=1369\longrightarrow$ add $1369=1369\checkmark$ Since the given measurements satisfy the equation $a^2+b^2=c^2$, the lengths could represent the sides of a right triangle.
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