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Two triangle ABC and D B C lie on the sa...

Two triangle ABC and `D B C` lie on the same side of the base `B C` . From a point `P` on `B C ,P Q A B` AND `P R B D` ARE DRAWN. They meet `A C` in `Q` and `D C` in `R` respectively. Prove that `Q R A Ddot`

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In` /_\ ABC`, we have
` PQ ||AB`
`:. (CP)/(PB) = (CQ)/(QA)… eq(1)` (By Thale’s theorem)
In` /_\ABC`, we have
`PR || BD`
`:. (CP)/(PB) = (CR)/(RD)… eq(2) `(By Thale’s theorem)
From eq(1) and eq(2), we get
...
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