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The parallelogram has twice the area of the triangle if their bases are the same and their heights are the same. Area triangle = 1/2 base x height. Area parallelogram = base x height.
A triangle twice as high as a parallelogram with the same base has the same area.
twice the area of the triangle with the same base an height.
It is base x height for the parallelogram. That is twice the area of a triangle which is: 1/2 base x height. (Base and height being the same for both cases).
If the heights and bases are the same, then the triangle is half the area of the parallelogram.