If D is a point on the side AB of
such that AD : DB = 3.2 and E is a point on BC such that
. Find the ratio of areas of
.

We have
AD/DB=3/2
In
BDE and
BAC
∠B=∠B [Common]
∠BDE=∠A [Corresponding]
BDE
BAC
Area(
) =AB2
Area (
) BD2
=52/22 [AD/DB=3/2]
=25/4
Area(
)
Area (
) =25:4
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