1.

In the given figure CD || BE || AF. Prove that ar(ΔAEC) = ar (ΔDBF).

Answer»

Area of triangles between same base and same parallel lines are equal.

∴ ΔCBE area = ΔDBE area 

ΔBAE area = ΔBEF area 

ΔCBE + ΔBAE = ΔDBE + ΔBEF 

∴ Area of ΔAEC = area of ΔDBF



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