Question

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

23–√

2 Start Root 3 End Root

6
6

123–√

12 Start Root 3 End Root

12
12

Answer 1

In a 30-60-90 triangle the side opposite 60° = s√3 where s is the short leg, and the hypotenuse = 2s. If s√3 = 6√3 then s = 6, so the hypotenuse = 2·6 = 12.