SOLUTION: find the area of an equilateral triangle with altitude 1 unit, leave your answer in simplest radical form.

Question 483424: find the area of an equilateral triangle with altitude 1 unit, leave your answer in simplest radical form.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Two ways to do this:

You can draw an altitude and call it h. This splits the equilateral triangle into two 30-60-90 right triangles, each with a leg of 1/2 and the height is sqrt(3)/2. The area is (1/2)(sqrt(3)/2) = sqrt(3)/4.

Or, you can say that the area of the triangle is 1*1*(sin 60)/2 = sqrt(3)/4, same result.
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