Triangle G H I is a right angle. 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.

Answer 1

To find the length of the other leg, we can use the Pythagorean Theorem. According to the Pythagorean Theorem, the square of the hypotenuse is equal to the sum of the squares of the two legs.

Let's call the length of the other leg x. We know that one leg is 11 and the hypotenuse is 22. Therefore, we can write the equation as:

11^2 + x^2 = 22^2

Simplifying this equation, we get:

121 + x^2 = 484

Subtracting 121 from both sides, we get:

x^2 = 363

Taking the square root of both sides, we get:

x = √363

Rounding this to two decimal places, we get:

x ≈ 19.06

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

Answer 2

Incorrect

Answer 3

Apologies for the mistake. Let's try again.

Since Triangle GHI is a right angle triangle, we can use the Pythagorean theorem to find the length of the other leg.

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's call the length of the other leg x. We know that one leg is 11 and the hypotenuse is 22. Therefore, we can write the equation as:

11^2 + x^2 = 22^2

Simplifying this equation, we get:

121 + x^2 = 484

Subtracting 121 from both sides, we get:

x^2 = 363

Taking the square root of both sides, we get:

x ≈ 19.07

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