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Area of a triangle = 0.5 x base x height = (or just 0.5 x b x h)

For an equilateral triangle, all the sides are the same length and the height can be determined many ways - I used the Pythogorean theorem, where h2 + (s/2)2 = s2, or h = (3/4 s2)0.5 = 0.866 s, where s is the length of one side.

So area of an equilaterial triangle =

0.5 x s x 0.866 s = 0.433 s2 (approximately).

or sqrt(3)/4 s2 (exactly)

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