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Mastering Important Concept on Triangles – III - Question #1

In the given figure, BD is the median of triangle ABC and the lines BD and CE intersect at point F. If the area of triangle BFC is \(6cm^2\) and area of the quadrilateral FEAD is \(18cm^2\). Find the area of triangle FDC, if the ratio of the area of triangle FDC and triangle FEB is \(3:2\).

Answer Choices

a. \(12 cm^2\) b. \(18 cm^2\) c. \(24 cm^2\) d. \(36 cm^2\) e. \(42 cm^2\)

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