Question

If a right triangle has a leg that measures 8 inches and the hypotenuse is 12 inches, how long is the other leg? Round to the nearest tenth, if necessary.(1 point)%0D%0A inches

Answer 1

r u sure?

Answer 2

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 length of the hypotenuse is equal to the sum of the squares of the lengths of the other two legs.

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

Using the Pythagorean theorem, we have:

12^2 = 8^2 + x^2
144 = 64 + x^2
x^2 = 144 - 64
x^2 = 80

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

x = square root of 80
x ≈ 8.94 inches

Therefore, the other leg of the right triangle measures approximately 8.94 inches.

Answer 3

My apologies, I made a mistake in my previous response. Let me correct it.

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 length of the hypotenuse is equal to the sum of the squares of the lengths of the other two legs.

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

Using the Pythagorean theorem, we have:

12^2 = 8^2 + x^2
144 = 64 + x^2
x^2 = 144 - 64
x^2 = 80

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

x = square root of 80
x ≈ 8.94 inches

Thus, the correct length of the other leg, rounded to the nearest tenth, is approximately 8.9 inches.