To find the length of the other leg, 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.
Let's call the length of the other leg "x". The Pythagorean theorem can be written as:
8^2 + x^2 = 12^2
Simplifying this equation, we get:
64 + x^2 = 144
Subtracting 64 from both sides, we have:
x^2 = 80
Taking the square root of both sides, we find:
x ≈ √80
x ≈ 8.944
Rounding to the nearest tenth, the length of the other leg is approximately 8.9 inches.
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 answer