SOLUTION: ΔABC is a 30-60-90 triangle, with the right angle at A, 30° angle at B, and 60° angle at C. If AC = 4, what is the length of BC?

Algebra ->  Triangles -> SOLUTION: ΔABC is a 30-60-90 triangle, with the right angle at A, 30° angle at B, and 60° angle at C. If AC = 4, what is the length of BC?       Log On


   

Question 284469: ΔABC is a 30-60-90 triangle, with the right angle at A, 30° angle at B, and 60° angle at C. If AC = 4, what is the length of BC?

Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
The side opposite 30 degrees = x.
The side opposite the right angle = 2x.
The side opposite 60 degrees = x(sqrt{3}).
We are given that side opposite 30 degrees = 4.
This is our value for x.
However, side AC = 2x or 2(4) = 8.