The area of a triangle *A* = *hb* / 2. *b* is the base, or the length of one of its sides. *h* is the height, or the distance between the vertex opposite to the chosen side and that side. For an equilateral triangle with a side length of *a*, the base is always *a*. As all of its interior angles are 60°, the height is *a* sin60° = √3 *a* / 2.
Therefore, the area *A* = *hb* / 2 = √3 *a* ^2 / 4.
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