Triangle GHI

is a right triangle. The length of one leg is 11 and the hypotenuse is 22. What is the length of the other leg? Round your answer to two decimal places.(1 point)

THE ANSWER IS NOT 19.06

1 answer

To find the length of the other leg, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Let's call the length of the other leg x. We have:

x^2 + 11^2 = 22^2

x^2 + 121 = 484

x^2 = 484 - 121

x^2 = 363

To find the length of x, we take the square root of both sides:

x = √363

x ≈ 19.06

Therefore, the length of the other leg is approximately 19.06.