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

Answer 1

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