Question

a triangle has sides with lengths of 29 centimeters, 72 centimeters, and 82 centimeters. is it a right triangle?

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side. Let \(a = 29\), \(b=72\), \(c = 82\).
Calculate \(a^{2}+b^{2}\): \(29^{2}+72^{2}=841 + 5184=6025\)
Calculate \(c^{2}\): \(82^{2}=6724\)
Since \(6025
eq6724\)

Answer:

no