On the unit circle, a right triangle with an angle measure of θ has a leg opposite of θ with a length of 12 what is the length of the other leg? Use the Pythagorean Theorem.(1 point) Responses 2 2 12 1 half 3√2 the fraction with numerator square root of 3 and denominator 2 3
To find the length of the other leg, we can use the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the leg opposite of θ is given as 12. Let's assume the other leg has a length of x.
Using the Pythagorean Theorem, we have:
x^2 + 12^2 = hypotenuse^2
x^2 + 144 = hypotenuse^2
Since we are on the unit circle, the hypotenuse is equal to 1.
Therefore:
x^2 + 144 = 1^2
x^2 + 144 = 1
x^2 = 1 - 144
x^2 = -143
As the value of x^2 is negative, it is not possible to calculate the exact length of the other leg.