Question Triangle GHIGHI 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)

Answer 1

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 hypotenuse is equal to the sum of the squares of the other two sides.

Let's denote the length of the other leg as x.

Using the Pythagorean Theorem, we have:

x^2 + 11^2 = 22^2

Simplifying, we get:

x^2 + 121 = 484

Subtracting 121 from both sides:

x^2 = 363

Taking the square root of both sides, we get:

x = √363 = 19.07 (rounded to two decimal places)

Therefore, the length of the other leg is approximately 19.07.