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Question
In ∆ABC, D and E are points on the sides AB and AC respectively such that DE || BC
If `"AD"/"DB" = 3/4` and AC = 15 cm find AE
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Solution
Let AE be x
∴ EC = 15 – x
In ∆ABC we have DE || BC
By Basic proportionality theorem, we have
`"AD"/"DB" = "AE"/"EC"`
`3/4 = x/(15 - x)`
4x = 3(15 – x)
4x = 45 – 3x
7x = 45
⇒ x = `45/7`
= 6.43
The value of x = 6.43
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