SOLUTION: Two sides of a Rohmbus form a 60 degree angle. The lengths of each side is 8. What is the area?

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Question 273992: Two sides of a Rohmbus form a 60 degree angle. The lengths of each side is 8. What is the area?
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
There are two 60 deg and two 30 deg angles. There are 4 triangles which are 30-60-90 and which are similar to one with hypotenuse 2, base 1 and altitude sqrt(3).
8/2=4 so the base = 4 and the altitude = 4sqrt(3).
A=.5ab
=.5*4sqrt(3)*4
=8sqrt(3) area of one of the triangles.
4*8sqrt(3)=32sqrt(3) area of the rhombus.
.
Ed