Question

What is the length of the hypotenuse of a 30-60-90 triangle if the side opposite the 60-degree angle is 63–√
6
3
?(1 point)
Responses

23–√
2
3

2 Start Root 3 End Root

12
12

6
6

123–√

Answer 1

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

Given side opposite 60° = 6√3, so x = (6√3)/√3 = 6, and hypotenuse = 2·6 = 12.

Answer: 12.