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)
answer is not 4√3 cm or 6.93

Answer 1

In a 30-60-90 triangle the sides are in ratio 1 : √3 : 2 (short leg opposite 30 : long leg opposite 60 : hypotenuse). If the hypotenuse = 8, then 2x = 8 → x = 4, so the side opposite 60° = x√3 = 4√3 cm ≈ 6.928 cm.

If you believe 4√3 (or 6.93 rounded) is wrong, tell me why or give the problem wording—we can check for a different interpretation.