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

Using the Pythagorean theorem, we can find the length of the other leg.

Let the length of the other leg be represented by x.

According to the Pythagorean theorem, in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

Therefore, we have:

11^2 + x^2 = 22^2

121 + x^2 = 484

x^2 = 484 - 121

x^2 = 363

x = √363

x ≈ 19.04 (rounded to two decimal places)

Therefore, the length of the other leg is approximately 19.04 units.
it’s 19.05