Question

a triangle has sides with lengths of 25 millimeters, 60 millimeters, and 65 millimeters. is it a right triangle? yes no

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the longest side.
Let \(a = 25\), \(b = 60\), and \(c = 65\).

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

\(a^{2}+b^{2}=25^{2}+60^{2}=625 + 3600=4225\)

Step3: Calculate \(c^{2}\)

\(c^{2}=65^{2}=4225\)

Step4: Compare

Since \(a^{2}+b^{2}=c^{2}\), it is a right - triangle.

Answer:

yes