To find the length of the other leg, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
In this case, one leg measures 8 inches and the hypotenuse is 12 inches. Let's call the other leg "x". So we have:
a = 8 inches
c = 12 inches
b = x inches
Using the Pythagorean theorem, we can write:
c^2 = a^2 + b^2
12^2 = 8^2 + x^2
144 = 64 + x^2
Next, let's subtract 64 from both sides of the equation:
144 - 64 = 64 + x^2 - 64
80 = x^2
To solve for x, we can take the square root of both sides of the equation:
√80 ≈ 8.94
So the length of the other leg is approximately 8.94 inches. Rounding to the nearest tenth, the other leg measures 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 point)
inches
1 answer
1 answer