Find the unknown side length in the given triangle. Round to the nearest hundredth 20 30

1 answer

To find the unknown side length in a triangle, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right 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, we have a right triangle with side lengths of 20 and 30. Let's call the unknown side length x.

Using the Pythagorean theorem, we have:

x^2 = 20^2 + 30^2
x^2 = 400 + 900
x^2 = 1300

Taking the square root of both sides gives us:

x = √1300
x ≈ 36.06 (rounded to the nearest hundredth)

Therefore, the unknown side length in the given triangle is approximately 36.06.