Question

If a triangle and a parallelogram lie on the same base and between the same parallels, then
prove that the area of the triangle is equal to half of the area of parallelogram.

Answer 1

Since they're on the same base
Btriangle= bparallelogram

Since they're between same parallels
Htriangle= Hparallelogram

Area of triangle=1/2 btriangle. Htriangle

Area of parallelogram = bparallelogram.hparallelogram

Therefore area of triangle is 1/2 the area of parallelogram

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