As shown in the figure, ABCD is a parallelogram, EF is parallel to ac. if the area of the triangle is 4 square centimeters, calculate the area of the triangle CDF?

As shown in the figure, ABCD is a parallelogram, EF is parallel to ac. if the area of the triangle is 4 square centimeters, calculate the area of the triangle CDF?

∵EF∥AC
Be / EA = BF / FC, that is AE / EB = CF / FB
∴AE/AB=CF/CB
S △ DCF / s parallelogram DCBA = CF / CB = AE / AB = s △ DAE / s parallelogram ABCD
S △ DCF = s △ DAE = 4 cm 2
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