on the unit circle, 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
Let's denote the length of the other leg of the right triangle as x. According to the Pythagorean theorem, we have the following equation:
(1/2)^2 + x^2 = 1^2
Simplifying this equation, we get:
1/4 + x^2 = 1
x^2 = 1 - 1/4
x^2 = 3/4
Taking the square root of both sides, we have:
x = √(3/4)
Since x represents the length of a leg of a right triangle, it must be positive. Thus, the length of the other leg of the right triangle on the unit circle is:
x = √(3/4) = √3/2