Mathematics · Geometry

D and E are points on the sides AB and AC, respectively, of ΔABC such that DE is parallel to BC and AD : DB = 7 : 9. If CD and BE intersect each other at F, then find the ratio of the areas of ΔDEF and ΔCBF.

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49 : 256

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D and E are points on the sides AB and AC, respectively, of &Delta;ABC such that DE is parallel to BC and AD : DB = 7 : 9. If CD and BE intersect each other at F, then find the ratio of the areas of &Delta;DEF and &Delta;CBF.