Question

Find the unknown side length in the given triangle. Round to the nearest hundredth.(1 point)
The hypotenuse is 30 and another side is 20

Answer 1

To find the unknown side length in a right triangle with a hypotenuse of 30 and another side length of 20, we can use the Pythagorean Theorem.

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 other two sides.

Let x be the length of the unknown side.

According to the Pythagorean Theorem, we have:

x^2 + 20^2 = 30^2

Simplifying, we get:

x^2 + 400 = 900

Subtracting 400 from both sides:

x^2 = 500

Taking the square root of both sides:

x ≈ √500

x ≈ 22.36

To the nearest hundredth, the length of the unknown side is 22.36.