If the heights and bases are the same, then the triangle is half the area of the parallelogram.
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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.
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).
you do it because the triangle is half the size of the parallelogram
They need not be. A bigger triangle can have the same area as a small parallelogram.They need not be. A bigger triangle can have the same area as a small parallelogram.They need not be. A bigger triangle can have the same area as a small parallelogram.They need not be. A bigger triangle can have the same area as a small parallelogram.
Because base times height = the area of a parallelogram and a triangle's area is half that of the parallelogram that the triangle exactly fits into.