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Question
In ΔABC, point D divides AB in the ratio 5:7, Find: `"AE"/"AC"`
Solution
Considering BE || BC
`"AD"/"DB" = "AE"/"EC"`
⇒ `"AE"/"EC" = "AD"/"DB"`
⇒ `"AE"/"EC" =(5)/(7)`
∵ AC = AE + EC
⇒ AC
= 5 + 7
= 12
∴ `"AE"/"AC" = (5)/(12)` .
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