Question
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.
Answers
Answered by
GPT 3.5
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.
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.