If a right triangle has side lengths of 9 and 12, how long is the hypotenuse?

Answer 1

To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem, which states that for any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, we have a right triangle with side lengths of 9 and 12, so we can apply the Pythagorean theorem as follows:

Hypotenuse^2 = 9^2 + 12^2
Hypotenuse^2 = 81 + 144
Hypotenuse^2 = 225

Taking the square root of both sides, we find:

Hypotenuse = √225
Hypotenuse = 15

Thus, the hypotenuse of the right triangle with side lengths 9 and 12 is 15.