Answer to Question #158223 in Geometry for Janine Leodones

Question

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

Answer 1

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

The area of the triangle is:

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