Question

If the hypotenuse of a 30-60-90 triangle is 8 cm, how long is the side opposite the 60-degree angle?(1 point)
The side opposite the 60-degree angle is
cm.

Answer 1

In a 30-60-90 triangle the sides are x (opposite 30°), x√3 (opposite 60°), and 2x (hypotenuse).
Given hypotenuse 8 → 2x = 8 → x = 4.
So the side opposite 60° = 4√3 cm.