If a right triangle has a leg with length 12 and the hypotenuse is 16 , how long is the other leg?(1point)
To find the length of the other leg of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Let's call the other leg "x":
By the Pythagorean theorem:
x² + 12² = 16²
x² + 144 = 256
Subtracting 144 from both sides:
x² = 112
Taking the square root of both sides:
√(x²) = √112
x = √112 ≈ 10.62
Therefore, the length of the other leg is approximately 10.62.