Question

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

[AI-generated answer — Bot GPT 3.5]

To solve this problem, we can use the Pythagorean theorem, which states 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 other two legs.

Let's call the length of the other leg of the triangle GHI as 'x'.

Using the Pythagorean theorem, we can write the equation as:

11^2 + x^2 = 22^2

Simplifying this equation further, we get:

121 + x^2 = 484

Subtracting 121 from both sides of the equation, we get:

x^2 = 484 - 121

x^2 = 363

Taking the square root of both sides of the equation, we get:

x = √363

Rounding the answer to two decimal places, we get:

x ≈ 19.07

Therefore, the length of the other leg (leg HI) is approximately 19.07.