Question

A)
What is the length of the hypotenuse of a 30-60-90 triangle if the side opposite the 60-degree angleis
?
(1 point) 6 3
– √
6
12 3
–
√
2 3
–
√
12

Answer 1

In a 30-60-90 triangle the sides are in ratio 1 : √3 : 2 (opposite 30°, 60°, hypotenuse). If the side opposite 60° is 6√3, then let x be the short leg: x√3 = 6√3 ⇒ x = 6. The hypotenuse is 2x = 12.

Answer: 12.