Question

Ok the unit circle, a right triangle with an angle measure of 0 has a leg opposite of 0 with a length of 1/2 what is the length of the other leg? Use the Pythagorean theorem.
√3/2

3

1/2

2

Answer 1

Let the other leg be x. By the Pythagorean theorem for the unit hypotenuse 1:

x^2 + (1/2)^2 = 1^2
x^2 + 1/4 = 1
x^2 = 3/4
x = √(3/4) = √3/2.

So the correct choice is √3/2.