Thread: Pythagorean Theorem?

How can I use algebra to show that the area of an equilateral triangle of side length S, is given by:

Area of the triangle(s)=(S^2)(Sqr root 3)
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4

Not sure how to begin, thanks very much

Originally Posted by captaintoast87

How can I use algebra to show that the area of an equilateral triangle of side length S, is given by:

Area of the triangle(s)=(S^2)(Sqr root 3)
______________
4

Not sure how to begin, thanks very much

HI

Draw a triangle , call it

O is the midpoint of BC . AO is the height of the altitude of the triangle .





Area