Question

In this triangle, side a = 24 units, side b = 10 units, and side c = 26 units. is this a right triangle?

Answer 1

Yes, because 24^2 is 576 and 10^2 is 100. Together, its 676. And the square root of 26 is 676. So, yes it is a right triangle.

Answer 2

If it is a right triangle then it must satisfy the Pythagorean Theorem:
 a²  +  b²  =  c²
24² + 10² = 26²
576 + 100 = 676
      676     = 676
           True

Answer: Yes. This is a right triangle.