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Question
If PQ || BC and PR || CD prove that `"AR"/"AD" = "AQ"/"AB"`
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Solution
In ∆ABC, We have PQ || BC
By basic proportionality theorem
`"AQ"/"AB" = "AP"/"AC"` ...(1)
In ∆ACD, We have PR || CD
Basic proportionality theorem
`"AP"/"AC" = "AR"/"AD"` ...(2)
From (1) and (2) we get
`"AQ"/"AB" = "AR"/"AD"`
or
`"AR"/"AD" = "AQ"/"AB"`
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