Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
Question
Book Icon
Chapter A.2, Problem 22AYU
To determine

Which are right triangles. For those that are, identify the hypotenuse.

Expert Solution & Answer
Check Mark

Answer to Problem 22AYU

Right triangle; hypotenuse is 26.

Explanation of Solution

Given:

10, 24, 26

Calculation:

The triangle with sides of lengths 10, 24, and 26.

10 2  = 100

24 2  = 576

26 2  = 676

Notice that the sum of the first two squares (100 and 576) equals the third square (676). That is, because 10 2  +  24 2  =  26 2 , the triangle is a right triangle. The longest side, 26, is the hypotenuse.

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