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P ,Q and R are, respectively, the mid-po...

`P ,Q` and `R` are, respectively, the mid-points of sides `B C ,C A` and `A B` of a triangle `A B C` , `P R` and `B Q` meet at `XdotC R` and `P Q` meet at `Y` . Prove that `X Y=1/4B Cdot`

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