If a right triangle has a leg with length 12 and the hypotenuse is 16, how long is the other leg? Round to the nearest tenth, if necessary (1
Using the Pythagorean theorem, we can find the length of the other leg of the right triangle.
Let's denote the length of the other leg as "x".
According to the Pythagorean theorem: hypotenuse^2 = leg1^2 + leg2^2
16^2 = 12^2 + x^2
256 = 144 + x^2
Subtracting 144 from both sides:
x^2 = 112
Taking the square root of both sides:
x = √112 or approximately 10.6
Therefore, the length of the other leg of the right triangle is approximately 10.6.