Find the unknown side length in this triangle. Round to the nearest hundreth if the left side is 20, and the long side is 30 what is the bottom side

1 answer

To find the unknown side length in this triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, we are given the length of the left side (20) and the long side (30). Let's label the unknown side length as x.

Using the Pythagorean theorem, we can write the equation:
20^2 + x^2 = 30^2

Simplifying this equation:
400 + x^2 = 900

Subtracting 400 from both sides:
x^2 = 500

Taking the square root of both sides:
x = √500

Rounded to the nearest hundredth, the unknown side length is approximately 22.36.