Question

if the triangle and a parallelogram are on the same base anf between the same parallels then prove that the areal of triangle is half the area of parallelogram
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Answer 1

Triangle and Parallelogram on Same Base and between Same Parallels

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

In the adjoining figure, parallelogram ABCD and ∆ABD are on the same base AB and between the same parallels AF and DC.

Triangle and Parallelogram on Same Base and between Same Parallels.

Therefore, area of ∆ABD = 1/2 area of parallelogram ABCD= 1/2 (AB × AE); [Since, DE is the altitude of parallelogram ABCD]

Here, AB is the base and AE is the height of ∆ABD.

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Answer 2

Answer:

see the attachment

Step-by-step explanation:

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