If a right triangle has a leg that measures 5 inches and the hypotenuse is 13 inches, how long is the other leg?%C2%A0 Round to the nearest tenth, if necessary.
To find the length of the other leg, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
Let the length of the other leg be x.
Using the Pythagorean theorem, we have:
x^2 + 5^2 = 13^2
x^2 + 25 = 169
x^2 = 169 - 25
x^2 = 144
Taking the square root of both sides, we find:
x = √144
x = 12
Therefore, the length of the other leg is 12 inches.