Question

If the side opposite a 60-degree angle in a 30-60-90 right triangle is 73–√ cm
long, how long is the hypotenuse?(1 point)

Answer 1

In a 30-60-90 triangle, the side opposite 60° = x√3 where x is the short leg, and the hypotenuse = 2x. If x√3 = √73, then x = √73/√3 and the hypotenuse is

h = 2x = 2(√73/√3) = (2√219)/3 cm.

(Approximately 9.87 cm.)