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Question
Ιn ΔΑBC, DE || BC such that `(AD)/(DB) = 3/5`. If AC = 5.6 cm then AE = ?
Options
4.2 cm
3.1 cm
2.8 cm
2.1 cm
MCQ
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Solution
2.1 cm
Explanation:
Since DE || BC, by the Basic Proportionality Theorem `(AD)/(DB) = (AE)/(EC) = 3/5`.
Let AE = 3k and EC = 5k.
So, AC = 8k = 5.6
⇒ k = 0.7
Hence, AE = 3k
= 3 × 0.7
= 2.1 cm
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