Answer is yes, it is a right triangle
Step by step
Using Pythagorean theorem
a^2 + b^2 = c^2
The two shorter sides are a + b
The hypotenuse is side c
85^2 + 132^2 = 157^2
7225 + 17424 = 157^2
24649 = 157^2
Take square root of both sides
157 = 157
Correct, it equals so it is a right triangle
Problem solved