A 30-60-90 triangle drawn inside the unit circle intersects that unit circle at point (a, y). What is the length of the hypotenuse

of this triangle?

1 answer

To find the length of the hypotenuse, we can use the Pythagorean Theorem.

In a 30-60-90 triangle, the length of the hypotenuse is always twice the length of the shorter leg. Since the shorter leg is the radius of the unit circle, which is 1, the hypotenuse is 2 times 1.

Therefore, the length of the hypotenuse in this triangle is 2.