If each side of an equilateral triangle is 9 cm and you must find the height how would you solve in pythagorean theorem?

If each side of an equilateral triangle is 9 cm and you must find the height how would you solve in pythagorean theorem?
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Divide the base in half and draw the median from the apex. Thismedian is also the altitude and so its length is the requiredheight. Also, since it is the altitude, it forms a right angledtriangle. Using Pythagoras on this triangle, the height is9*sqrt(3)/2.
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