On the unit circle, a right triangle with an angle measure of θ has a leg opposite of θ with a length of 1/2 what is the length of the other leg? Use the Pythagorean Theorem.(1 point)
1. 2
2. 1/2
3. √3/2
4. 3
Let the other leg of the right triangle be x.
Using the Pythagorean theorem, we have:
(x)^2 + (1/2)^2 = 1^2
x^2 + 1/4 = 1
x^2 = 1 - 1/4
x^2 = 3/4
x = sqrt(3/4)
Simplifying, we have:
x = sqrt(3)/sqrt(4)
x = sqrt(3)/2
Therefore, the length of the other leg is √3/2.
The correct answer is option 3. √3/2.