SOLUTION: Find the exact value of the area an equilateral triangle if the measure of one side is 4.

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Question 507260: Find the exact value of the area an equilateral triangle if the measure of one side is 4.

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
You can draw an altitude from one vertex to the base. Using the fact that the two triangles are 30-60-90 triangles, you can conclude that the base is 4 (half of it is 2) and the altitude is 2sqrt(3). The area would be 4sqrt(3).

Or, you could say that the area is 4*4*(sin 60)/2 = 8 sin 60 = 4sqrt(3).