Question

If a right triangle has a leg that is 10 and the hypotenuse is 30, how long is the other leg?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length of the other leg, you 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 sides.

In this case, let the length of the other leg be x. According to the Pythagorean theorem:

x^2 + 10^2 = 30^2

x^2 + 100 = 900

x^2 = 900 - 100

x^2 = 800

x = √800

x ≈ 28.28

Therefore, the length of the other leg is approximately 28.28.