You don't have enough information. But if you have the base and the area, you can solve the equation for the area of the triangle for the height.
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Divide the area by height then you get the base.
You don't need to find it. From what your question states the area is already given to you.
area of a triangle = 1/2 base x height ie times the area by two then divide by the base = height
By using sides we get area of triangle and then using (1/2)heightxbase we get height.
Of a square? (area/height=base) Of a triangle? ({area/height}/2=base) Or of some other shape?