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.

2 answers

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

Let the length of the other leg be x. According to the given information, the length of one leg (which is 11) and the hypotenuse (which is 22):

11^2 + x^2 = 22^2
121 + x^2 = 484
x^2 = 484 - 121
x^2 = 363
x = √363
x ≈ 19.06

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