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 18AYU
To determine

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

Expert Solution & Answer
Check Mark

Answer to Problem 18AYU

Right triangle; hypotenuse is 10.

Explanation of Solution

Given:

6, 8, 10

Calculation:

The triangle with sides of lengths 6, 8, and 10.

6 2  = 36

8 2  = 64

10 2  = 100

Notice that the sum of the first two squares (36 and 64) equals the third square (100). That is, because 6 2  +  8 2  =  10 2 , the triangle is a right triangle. The longest side, 10, is the hypotenuse.

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