If Triangle RST is a right triangle, it satisfies the Pythagorean theorem, which states:
c² = a² + b²
where a and b are the legs, and c is the hypotenuse of the triangle.
Substituting with a = 8, b = 15 and c = 17, we get:
17² = 8² + 15²
289 = 64 + 225
289 = 289
Then, Triangle RST is a right triangle