A right triangle has a leg length of square root of 11 and a hypotenuse length of 9. Determine the length of the other leg of the right triangle.
a) square root of 18
b) square root of 81
c) square root of 70
d) 22
Let the length of the other leg be x. According to the Pythagorean theorem, we have:
(x^2) + (sqrt(11)^2) = 9^2
x^2 + 11 = 81
x^2 = 81 - 11
x^2 = 70
Taking the square root of both sides, we get:
x = sqrt(70)
Therefore, the length of the other leg is sqrt(70).
So the correct answer is:
c) square root of 70