To find the length of the other leg in a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
In this case, let's denote the length of the other leg as x.
According to the Pythagorean theorem, we have:
x^2 + 8^2 = 12^2
x^2 + 64 = 144
Subtracting 64 from both sides, we get:
x^2 = 80
Taking the square root of both sides, we find:
x = √80 ≈ 8.9
Therefore, the length of the other leg is approximately 8.9 inches.
f 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)
1 answer
1 answer