Question

a triangle has sides with lengths of 3 inches, 4 inches, and 5 inches. is it a right triangle?

Explanation:

Step1: Recall the Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side. Let \(a = 3\), \(b = 4\), \(c = 5\).

Step2: Calculate \(a^{2}+b^{2}\) and \(c^{2}\)

\(a^{2}+b^{2}=3^{2}+4^{2}=9 + 16=25\)
\(c^{2}=5^{2}=25\)

Answer:

yes