Question

Triangle GHI 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]

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

Let the length of the other leg be x.

According to the Pythagorean theorem, x^2 + 11^2 = 22^2.

Simplifying this equation, we have x^2 + 121 = 484.

Subtracting 121 from both sides, we get x^2 = 363.

Taking the square root of both sides, we find that x = √363.

Rounding to two decimal places, x ≈ 19.06.

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

Answer 2

Incorrect

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the error in the previous response. Let's approach the problem again.

Given that one leg of the right triangle is 11 and the hypotenuse is 22, we can find the length of the other leg using the Pythagorean theorem.

The Pythagorean theorem 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 assume the length of the other leg is x. Then we have the equation:

x^2 + 11^2 = 22^2

Simplifying the equation, we get:

x^2 + 121 = 484

Subtracting 121 from both sides, we have:

x^2 = 363

Taking the square root of both sides, we find:

x = √363

Rounding to two decimal places, x ≈ 19.07.

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

Answer 4

[AI-generated answer — Explain Bot]

To find the length of the other leg in a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem 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 sides.

In this case, one leg has a length of 11, and the hypotenuse has a length of 22. Let's call the length of the other leg "x".

Using the Pythagorean theorem, we can set up the following equation:

11^2 + x^2 = 22^2

Simplifying:

121 + x^2 = 484

Now, let's isolate x^2 by subtracting 121 from both sides:

x^2 = 484 - 121

x^2 = 363

Finally, let's find the square root of both sides to solve for x:

x = √363

Calculating the square root of 363, we find that x is approximately 19.06 (rounded to two decimal places).

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