If a right triangle has a leg that measures 5 inches and the hypotenuse is 13 inches, how long is the other leg? round to the nearest tenth, if necessary

1 answer

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

Let's denote the length of the other leg as x.

According to the Pythagorean theorem, we have:

x^2 + 5^2 = 13^2

x^2 + 25 = 169

x^2 = 169 - 25

x^2 = 144

x = √144

x = 12

Therefore, the length of the other leg of the right triangle is 12 inches.