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You can use the midpoint formula, if you know all of the vertexes' coordinates.

For example, say you have an equilateral triangle with vertexes at points (0,0), (4,0), and (2,sqrt12). I'll choose (2,sqrt12) as my base of operations. (sqrt is the shortened form of "square root of")

First, I find the midpoint between (0,0) and (4,0), which is (2,0).

Next, I find the midpoint of (2,0) and (2,sqrt12). The midpoint formula is ((x1 + x2)/2, (y1 + y2)/2). Just plug in the numbers: ((2 + 2)/2, (0 + sqrt12)/2). This simplifies to (2,sqrt3), which is your answer.

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