Do these side lengths make a right triangle? 5, 12, 13

This is a right triangle

Step-by-step explanation:

We will use the Pythagorean theorem

a^2 + b^2 = c^2

If this is true it is a right triangle

5^2 + 12^2 = 13^2

25+144 = 169

169 = 169

This is true so this is a right triangle