Question

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.

its not 19.06 or 19.07

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length of the other leg in a right triangle, we can use the Pythagorean theorem, which states that in any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.

Let's denote the length of the other leg as x. According to the Pythagorean theorem, we have:

x^2 + 11^2 = 22^2

x^2 + 121 = 484

x^2 = 363

Taking the square root of both sides, we find:

x ≈ 19.07

So, the length of the other leg is approximately 19.07 (rounded to two decimal places).

Answer 2

[AI-generated answer — Explain Bot]

To find the length of the other leg in a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two legs.

In this case, we know that 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.

According to the Pythagorean theorem, we can write the equation as:

11^2 + x^2 = 22^2

Simplifying:

121 + x^2 = 484

Subtracting 121 from both sides:

x^2 = 363

Taking the square root of both sides:

x = sqrt(363)

Now, to get the answer rounded to two decimal places, we can use a calculator to find the approximate value of the square root of 363:

x ≈ 19.06

So, the length of the other leg is approximately 19.06 (rounded to two decimal places).

If you've obtained a different answer, please double-check your calculations or provide more information so I can assist you further.