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Question
If in ∆ABC, DE || BC. AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is
Options
1.4 cm
1.8 cm
1.2 cm
1.05 cm
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Solution
1.4 cm
Explanation;
Hint:
In ∆ABC and ADE
`"AB"/"AD" = "AC"/"AE" ⇒ 3.6/2.1 = 2.4/"AE"`
3.6 × AE = 2.4 × 2.1
AE = `(2.4 xx 2.1)/3.6 = (24 xx 21)/360`
AE = 1.4 cm
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