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Question
In the following figure, point D divides AB in the ratio 3 : 5. Find :
BC = 4.8 cm, find the length of DE.
Solution
Given that `(AD)/(DB) = 3/5`
So, `(AD)/(AB) = 3/8`
In ΔADE and ΔABC,
∠ADE = ∠ABC ...(Since DE || BC, so the angles are corresponding angles)
∠A = ∠A ...(Common angle)
∴ ΔADE ∼ ΔABC ...(AA criterion for similarity)
`=> (AD)/(AB) = (DE)/(BC)`
`=> 3/8 = (DE)/(4.8)`
`=>` DE = 1.8 cm
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