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Depends on what information you've been provided.

If you've been provided the BASE and the HEIGHT/altitude, you can find the area of any type of triangle (equilateral, isosceles, scalene) by using this formula:

A = 1/2 bh

If you've been provided the HEIGHT ONLY, you can still find the area because it's an equilateral triangle. Simply divide it into two 30-60-90 triangles and find the short side of one of them by dividing the height (the long side of the triangle) by √3. Multiply that number by 2 to find the length of the base, then use the above formula.

If you've been provided with the SIDE, the same principles of 30-60-90 triangles apply. You can use the formula below:

A = (S2 √3) /4

If you've been provided the APOTHEM, use the following formula:

1/2 ap (where a is the apothem and p is perimeter)

This formula works for all regular polygons.

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Q: How do you figure area of an equilateral triangle?
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