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Question
In ∆ABC, P and Q are points on sides AB and AC respectively such that PQ || BC. If AP = 3 cm, PB = 5 cm and AC = 8 cm, find AQ.
Solution
In Δ ABC, P and Q are points on sides AB and AC respectively such that `PQ|| BC`
Then we have
`(AP)/(AB)=(AQ)/(AC)`
AP = 3cm ,PB = 5cm ,AC = 8cm and AB = cm
`3/8=(AQ)/8`
`3/cancel8=(AQ)/cancel8`
`3= AQ`
Hence the value of AQ is 3 cm.
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