SOLUTION: What's the are of an equilateral triangle with a height of 6

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Question 1012479: What's the are of an equilateral triangle with a height of 6
Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) (Show Source):
You can put this solution on YOUR website!
Equilateral triangles are very special. The sum of the angles of EVERY triangle total 180 degrees. Thus, each angle in an equilateral triangle measures 180/3= 60 degrees.
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To find the side with the height:
Length of side = (2/√3)*h
Length of side = (2/√3)*6 = 6.93

Answer by MathTherapy(10557) (Show Source):
You can put this solution on YOUR website!
What's the are of an equilateral triangle with a height of 6

When the altitude is drawn, 2 special 30-60-90 right triangles are created
Longer leg, or altitude = 6
Shorter leg of each special triangle will be , or
Hypotenuse of special triangle, or each side of given triangle = , or
Area = ------> ------->