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KS toTe cost him ? 10 less. How many books did he buy. If he had bought 4 more books for the sameProve that if a line is drawn parallel to one side of a trthe other two sides in distinct points, then the other two sides are dividedin the same ratio.iangle to intersectIn Fig. 2, DE 11AC and DFIIAE.Prove that:The mean of the following fremmBF BEFE EC25.

Answer»

BASIC PROPORTIONALITY THEOREM (BPT) : If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. That is also known as Thales theorem.SOLUTION:

GIVEN:In ∆BAC, DE || ACBE/EC = BD/DA………..(1)

[ By Thales theorem(BPT)]

In ∆BAE, DF || AE (GIVEN)BF/FE = BD/DA………..(2)

[ By Thales theorem(BPT)]

(From eq 1 and 2)BF/FE = BE/ECFE/BF = EC/BE [reciprocal the terms]

Hence proved.

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