Question

What is the length of the hypotenuse of a 30-60-90 triangle if the side opposite the 60-degree angle is 6√2
?(1 point)
Responses

12
12

2√3

2 Start Root 3 End Root

12√3

12 Start Root 3 End Root

6

Answer 1

In a 30-60-90 triangle the sides are x (30°), x√3 (60°), and 2x (hypotenuse). If x√3 = 6√2 then x = (6√2)/√3 = 2√6, so the hypotenuse = 2x = 4√6 ≈ 9.798.

None of the provided choices match 4√6.