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 19.07
its not 19.06

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let the length of the other leg be x. According to the Pythagorean theorem, we have:

x^2 + 11^2 = 22^2

x^2 + 121 = 484

x^2 = 363

x = √363 = 19.06 (rounded to two decimal places)

Answer 2

[AI-generated answer — Explain Bot]

To find the length of the other leg in a right triangle, you can use the Pythagorean theorem. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Let's call the length of the other leg "x". According to the Pythagorean theorem, we can write the equation as follows:

11^2 + x^2 = 22^2

To find the value of "x", we need to solve this equation for "x".

Starting with the equation:

121 + x^2 = 484

Subtracting 121 from both sides:

x^2 = 363

Now, take the square root of both sides:

x = √363

Calculating the square root of 363, we get:

x ≈ 19.06 (rounded to two decimal places)

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