Question

a triangle has sides with lengths of 18 feet, 80 feet, and 82 feet. 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 \(a = 18\), \(b=80\), \(c = 82\).
Calculate \(a^{2}+b^{2}\): \(18^{2}+80^{2}=324 + 6400=6724\).
Calculate \(c^{2}\): \(82^{2}=6724\).

Answer:

yes