Question

a right triangle has a leg length of 8 in. and a hypotenuse of length 10in. What must be the length of the other leg?

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the length of the other leg of the right triangle, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

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

According to the theorem, we have:

x^2 + 8^2 = 10^2

x^2 + 64 = 100

To isolate x, we subtract 64 from both sides of the equation:

x^2 = 36

To find x, we take the square root of both sides:

x = √36

x = 6

Therefore, the length of the other leg of the right triangle is 6 inches.