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Can a parallelogram and a triangle which have the same base have the same area?

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Can a parallelogram and a triangle which have the same base have the same area?

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Yes. If you drew them one on top of another, the parallelogram would be a “squashed” one that was not very high when compared to the height of the triangle. But it is eminently possible to have the two figures contain the same area and have the same base.

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