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Question
In the following figure, AB || QR. Find the length of PB.
Sum
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Solution
We have, ΔPAB and ΔPQR
∠P = ∠P [Common]
∠PAB = ∠PQR [Corresponding angles]
Then, ΔPAB ~ ΔPQR [By AA similarity]
`therefore"PB"/"PR"="AB"/"QR"` [Corresponding parts of similar Δare proportional]
`rArr"PB"/6=3/9`
`rArr"PB"=3/9xx6=2` cm
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