find the unknown side length in the given triangle if the hypotenuse is 30ft and the other leg is 20ft. rounded to the nearest hundredth

Answer 1

To find the unknown side length, 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 other two sides.

Let the unknown side length be denoted as "x."

Using the Pythagorean theorem, we can set up the following equation:

x^2 + 20^2 = 30^2

x^2 + 400 = 900

x^2 = 900 - 400

x^2 = 500

To find the value of "x," we take the square root of both sides:

x = √500

x ≈ 22.36 ft (rounded to the nearest hundredth)