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Question
In figure, PQ is parallel to BC, AP : AB = 2 : 7. If QC = 0 and BC = 21,
Find
(i) AQ
(ii) PQ
Solution
(i) Since PQ || BC
`"AP"/"PB" = "AQ"/"QC"`
⇒ `"AP"/("AB" - "AP") = "AQ"/"QC"`
⇒ `(2)/(5) = "AQ"/(10)`
⇒ AQ = `(2 xx 10)/(5)`
⇒ AQ = 4.
(ii) Since PQ || BC
`"AP"/"AB" = "PQ"/"BC"`
⇒ `(2)/(7) = "PQ"/(21)`
⇒ PQ = `(2 xx 21)/(7)`
⇒ PQ = 6.
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