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 17AYU
To determine

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

Expert Solution & Answer
Check Mark

Answer to Problem 17AYU

Right triangle; hypotenuse is 5.

Explanation of Solution

Given:

3, 4, 5

Calculation:

The triangle with sides of lengths 3, 4, and 5.

3 2  = 9

4 2  = 16

5 2  = 25

Notice that the sum of the first two squares (9 and 16) equals the third square (25). That is, because 3 2  +  4 2  =  5 2 , the triangle is a right triangle. The longest side, 5, is the hypotenuse.

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