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

12
12

23–√

2 Start Root 3 End Root

123–√

12 Start Root 3 End Root

6

Answer 1

In a 30-60-90 triangle the sides are x (opposite 30), x√3 (opposite 60), and 2x (hypotenuse).
If the side opposite 60° is 6√3, then x√3 = 6√3 ⇒ x = 6, so the hypotenuse = 2x = 12.