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)

2 answers

By using the Pythagorean theorem, we know 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 two legs. Let the length of the unknown leg be x.
So, using the given information, we can write the equation:
11^2 + x^2 = 22^2
121 + x^2 = 484
x^2 = 484 - 121
x^2 = 363
Taking the square root of both sides, we get:
x = √363
x ≈ 19.06

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