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

123–√

12 Start Root 3 End Root

23–√

2 Start Root 3 End Root

6
6

12

Answer 1

In a 30-60-90 triangle the sides are s (opposite 30), s√3 (opposite 60), and 2s (hypotenuse).
Given s√3 = 6√3 ⇒ s = 6, so hypotenuse = 2s = 12.