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 Post subject: Area of equilateral trianglePosted: Thu Mar 25, 2010 5:17 pm

Joined: Tue Mar 02, 2010 9:40 pm
Posts: 4
Could you derive (s^2*SquareRTof3)/4 formula for me?

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 Post subject: Re: Area of equilateral trianglePosted: Thu Mar 25, 2010 5:26 pm

Joined: Thu Feb 12, 2009 6:32 pm
Posts: 497
Sides are s, s, and s

A = 1/2 * s * h, so we need to find h

split the triangle down the middle into two 30-60-90 triangles.

The height of the main triangle is the side opposite the 60 degree angle in one of the 30-60-90's

applying the 1, sqrt(3), 2 rule, this side will be sqrt(3)/2 * s (s is the hypotenuse of a 30-60-90 here)

so, the area of the main triangle is (1/2)s * sqrt(3)/2 * s

- Veritas Help

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