Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's denote the length of the other leg as x.

Using the Pythagorean theorem, we have:

a² + b² = c²

Where:
a = length of one leg (10 ft)
b = length of the other leg (x)
c = length of the hypotenuse (30 ft)

Substitute the given values into the equation:

10² + x² = 30²
100 + x² = 900
x² = 800
x = √800
x ≈ 28.28 ft

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