Answer: 15, 8, 17
Step-by-step explanation:
In order to be a right triangle, the side lengths must satisfy Pythagorean Theorem: a² + b² = c² ; where a and b are the legs (smallest side lengths) and c is the hypotenuse (largest side length).
Let's try 10, 11, 15:
10² + 11² = 15²
100 + 121 = 225
221 = 225
FALSE → not a right triangle
Let's try 15, 8, 17:
15² + 8² = 17²
225 + 64 = 289
289 = 289
TRUE → is a right triangle!
