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प्रश्न
D and E are points on the sides AB and AC respectively of a ΔABC such that DE║BC.
If `(AD)/(DB) = 4/7` and AC = 6.6cm, find AE.
उत्तर
In Δ ABC, it is given that DE || BC.
Applying Thales’ theorem, we get :
`(AD)/(DB) = (AE)/(EC)`
⟹ `4/7 =(AE)/(EC)`
Adding 1 to both the sides, we get :
`11/7 = (AC)/(EC)`
⟹ EC = `(6.6 ×7)/11 = 4.2 cm`
Therefore
AE = AC – EC = 6.6 – 4.2 = 2.4 cm
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