# The legs of a right triangle are 12 and 5. Find the hypotenuse.

July 25, 2021 | education

| 1) In order to find the hypotenuse, when two legs of a right-angled triangle are known, you need to use the Pythagorean theorem: the sum of the squares of a leg is equal to the square of the hypotenuse.

2) Let us denote the hypotenuse of the triangle by X.

3) Let’s compose the equations following the theorem:

12 ^ 2 + 5 ^ 2 = X ^ 2;

144 + 25 = X ^ 2;

169 = X ^ 2;

X = 13 (√169).

Answer: 13.