An altitude of an equilateral triangle is 6 inches. Find the area of the triangle.
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}.a=2h/3=12/3=43.
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}S=0.5a×h=0.5×43×6=123inches.
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