If a right triangle has a leg that measures 8 in and the hypotenuse is 12 in how long is the other leg round to the nearest tenth
To find the length of the other leg of the 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 two legs.
Let's assume the length of the other leg is 'x'.
According to the Pythagorean Theorem:
x^2 + 8^2 = 12^2
x^2 + 64 = 144
x^2 = 144 - 64
x^2 = 80
Taking the square root of both sides:
x ≈ √80
x ≈ 8.9 (rounded to the nearest tenth)
Therefore, the other leg of the right triangle measures approximately 8.9 inches when rounded to the nearest tenth.