Question #158223

An altitude of an equilateral triangle is 6 inches. Find the area of the triangle.


1
Expert's answer
2021-02-03T03:47:09-0500

If an altitude of an equilateral triangle is 6 inches, then the side of this triangle is a=2h/3=12/3=43.a = 2h/\sqrt{3} = 12/\sqrt{3} = 4\sqrt{3}.

The area of the triangle is:

S=0.5a×h=0.5×43×6=123S = 0.5a×h = 0.5×4\sqrt{3}×6 = 12\sqrt{3}inches.


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