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Question
If PQ || BC and PR || CD prove that `"QB"/"AQ" = "DR"/"AR"`
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Solution
In ∆ABC, PQ || BC ...(Given)
By basic proportionality theorem
`"AP"/"PC" = "AQ"/"QB"` ...(1)
In ∆ADC, PR || CD ...(Given)
By basic proportionality theorem
`"AP"/"PC" = "AR"/"RD"` ...(2)
From (1) and (2) we get
`"AQ"/"QB" = "AP"/"RD"`
or
`"QB"/"AQ" = "DR"/"AR"`
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