Question

question 19 of 25
a triangle with sides of lengths 32, 60, and 68 is a right triangle.
a. true
b. false

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, $a^2 + b^2 = c^2$, where $c$ is the longest side.

Step2: Calculate sum of squares of shorter sides

$32^2 + 60^2 = 1024 + 3600 = 4624$

Step3: Calculate square of longest side

$68^2 = 4624$

Step4: Compare the two results

$32^2 + 60^2 = 68^2$

Answer:

A. True