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Question
ΔАВС ~ ΔDEF and the perimeters of ΔABC and ΔDEF are 30 cm and 18 cm respectively. If BC = 9 cm then EF = ?
Options
6.3 cm
5.4 cm
7.2 cm
4.5 cm
MCQ
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Solution
5.4 cm
Explanation:
For similar triangles the ratio of corresponding sides equals the ratio of their perimeters.
So, `(EF)/(BC) = 18/30`
= `3/5`
Hence, `EF = 9 xx 3/5`
= `27/5`
= 5.4 cm
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