Q. 15.0( 2 Votes )

In figure 6.27,

Prove that BR = CS.


Answer :

In Δ ABC

Given, A-P- B, B- R-S-C and A-Q-C


and


To prove – BR = CS


Proof : In Δ ABC given


………..eq(1)


( If a line to one side of a Δ intersects the other two sides of the Δ in distinct points, the segments of the other sides of the Δ in the same half plane of the line are proportional to the corresponding sides of the Δ)


Similarly,


………………..2


From 1 and 2, we get


……..eq(3)


Similarly,


……………4


From 3 and 4



BR = CS hence proved


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