If a right triangle has a leg that is 20 ft. long and the hypotenuse is 30 ft. long, how long is the other leg? Round to the nearest hundredth. (1 point)
We can use the Pythagorean Theorem to solve this problem. The Pythagorean Theorem 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 other two sides.
Let the length of the other leg be x.
According to the Pythagorean Theorem, we have:
x^2 + 20^2 = 30^2
x^2 + 400 = 900
x^2 = 900 - 400
x^2 = 500
Taking the square root of both sides, we get:
x = √500
Rounding to the nearest hundredth, we have:
x ≈ 22.36
Therefore, the length of the other leg is approximately 22.36 ft.