On 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.

Answer 1

Let's call the length of the other leg x. According to the Pythagorean theorem, we have the equation:

x² + (1/2)² = 1²

Simplifying this equation, we get:

x² + 1/4 = 1

Subtracting 1/4 from both sides:

x² = 3/4

Taking the square root of both sides:

x = sqrt(3/4)

Simplifying the square root:

x = sqrt(3)/sqrt(4) = sqrt(3)/2

Therefore, the length of the other leg is sqrt(3)/2.