Asher cut five sets of boards to build triangular tables. Which of the following sets of side lengths would form tables shaped like a right triangle?

18 in, 22 in, 28 in
20 in, 21 in, 31 in
10 in, 24 in, 26 in
27 in, 36 in, 45 in
28 in, 45 in, 53 in

Question

Asher cut five sets of boards to build triangular tables.  Which of the following sets of side lengths would form tables shaped like a right triangle?

18 in, 22 in, 28 in
 20 in, 21 in, 31 in
 10 in, 24 in, 26 in
 27 in, 36 in, 45 in
 28 in, 45 in, 53 in

Vocaloid · Answer

In order for three numbers to be sides of a right triangle they must follow the Pythagorean theorem

a^2 + b^2 = c^2

Where a and b are the legs and c is the hypotenuse (the largest number)

So for each set of three numbers, plug them into the formula and see if both sides are equal or not. The solution will be the answer choice that satisfies both sides of the theorem.