Find the unknown side length in the given triangle.

20, 30, right angle, missing length

1 answer

To find the missing side length in a right 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 triangle, we have side lengths of 20 and 30. To find the missing length, let's call it x, we can set up the equation:

x^2 = 20^2 + 30^2

x^2 = 400 + 900

x^2 = 1300

By taking the square root of both sides of the equation, we can find the value of x:

x = √1300

Using a calculator, we can find that x is approximately 36.06.

Therefore, the missing length in the given triangle is approximately 36.06 units.