If D is a point on the side AB of ΔABC such that AD : DB = 3 : 2 and E is a point on BC such that DE II AC. Find the ratio of areas of ΔABC & ΔADE
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Given,and DE || AC.

In ΔABC and ΔBDE, we have
∠BDE = ∠BAC [corresponding angles]
∠BED = ∠BCA [corresponding angles]
∠B = ∠B [common]

Given,and DE || AC.

In ΔABC and ΔBDE, we have
∠BDE = ∠BAC [corresponding angles]
∠BED = ∠BCA [corresponding angles]
∠B = ∠B [common]
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