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Question

Match the triangles of equal area from the given figures.

A
Triangles ADF & BDF
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B
Triangles ADG & BDG
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C
Triangles ADE & CDE
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Solution

In each of the figures given above, we can see that the triangles lie between the same set of parallel lines.
Case1)Triangles ADG and BDG stand on the same base, DG, and between the same parallel lines. Hence their areas are equal.

Case 2)
Traingles ADE and CDE stand on the same base, DE, and between the same parallel lines. Hence their areas are equal.

Case3)
Traingles ADF and BDF stand on the same base, DF, and between the same parallel lines. Hence their areas are equal.

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