Question

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

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\) where \(c\) is the longest side. Here, \(a = 25\), \(b = 60\), \(c = 65\).

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

\(25^2 + 60^2 = 625 + 3600 = 4225\)

Step3: Calculate \(c^2\)

\(65^2 = 4225\)

Step4: Compare results

Since \(25^2 + 60^2 = 65^2\), the triangle satisfies the Pythagorean theorem.

Answer:

yes