Find the unknown side length in the given triangle. Round to the nearest hundredth.(1 point)

a triangle with a right angle, the sides 20, 30 and unknown

2 answers

To find the unknown side length in the triangle with sides 20 and 30, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right angle triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, let's assume the unknown side length is x. Using the theorem, we have:

20^2 + 30^2 = x^2

Simplifying, we get:

400 + 900 = x^2

1300 = x^2

Taking the square root of both sides, we find:

√1300 ≈ 36.06

Therefore, the unknown side length is approximately 36.06.
proof