Answer: No, it's not a right triangle.
Step-by-step explanation
If we had a right triangle, then the Pythagorean theorem equation would be true when a = 12, b = 17, c = 20
So,
a^2 + b^2 = c^2
12^2 + 17^2 = 20^2
144 + 289 = 400
433 = 400
We arrive at a false equation.
This means a^2 + b^2 = c^2 is also false for the a,b,c values mentioned.
Therefore, this is NOT a right triangle.