The give side measures are 10, 24, 26.

Since the measure of the longest side is 26, So let c = 26, a = 10 and b = 24.

Then apply Pythagorean theorem: .

           (Substitute c = 26, a = 10 and b = 24)

Evaluate powers: .

Since , the triangle is right triangle.

The measures , the triangle is right triangle.