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Question
E and F are points on the sides AB and AC, respectively, of a ΔABC, such that `(AE)/(EB) = (AF)/(FC) = 1/2`. Which of the following relations is true?
Options
EF = 2BC
BC = 2EF
EF = 3ВС
BC = 3EF
MCQ
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Solution
BC = 3EF
Explanation:
`(AE)/(EB) = (AF)/(FC) = 1/2`
∵ `(AE)/(AB) = (AF)/(AC) = (EF)/(BC)`
`1/(1 + 2) = 1/(1 + 2) = (EF)/(BC)`
`1/3 = (EF)/(BC)`
BC = 3EF
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