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)
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.
To find the length of the other leg of a right triangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the two legs (a and b).
So, in this case, we have the length of one leg (8 inches) and the length of the hypotenuse (12 inches). Let's call the length of the other leg "x".
Using the Pythagorean theorem:
c^2 = a^2 + b^2
Substituting the given values:
12^2 = 8^2 + x^2
Simplifying:
144 = 64 + x^2
Subtracting 64 from both sides:
80 = x^2
To solve for x, we take the square root of both sides:
√80 = √x^2
Simplifying:
x ≈ 8.94
Rounding to the nearest tenth:
x ≈ 8.9
Therefore, the length of the other leg is approximately 8.9 inches.
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 square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, we are given the length of one leg (8 inches) and the length of the hypotenuse (12 inches). Let's call the length of the other leg "x".
We can set up the equation as follows:
x^2 + 8^2 = 12^2
Simplifying, we get:
x^2 + 64 = 144
Subtracting 64 from both sides:
x^2 = 80
Taking the square root of both sides:
x = √80
Using a calculator or approximating to the nearest tenth, we find:
x ≈ 8.9
Therefore, the length of the other leg is approximately 8.9 inches.