Find the unknown side length in the given triangle. Round to the nearest hundredth. (1 point)
Description of image: Hypotenuse is 30, left leg is 20, and bottom leg is the unknown side length.
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.
In this case, the hypotenuse is 30 and one of the legs is 20. Let's call the length of the unknown side "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 can take the square root of both sides of the equation:
x = √500
Now, let's round the square root of 500 to the nearest hundredth:
x ≈ 22.36
Therefore, the approximate length of the unknown side is 22.36.