Could the lengths 18 in., 80 in., and 82 in. be the side lengths of a right triangle?

This is a right triangle

Step-by-step explanation:

We can check this using the Pythagorean theorem

a^2 + b^2 = c^2

where a and b are the legs and c is the hypotenuse

18^2 + 80^2 = 82^2

324+6400=6724

6724 = 6724

True, so this is a right triangle

yes

Step-by-step explanation:

The formula to finding the hypotenuse of a right triangle is a^2+b^2=c^2. So since the longest side is the hypotenuse, the 82 in. is the hypotenuse. 18^2+80^2 = 6724, then we square root it, square root of 6725 is 82.