MCQ
If ∆ABC and ∆DEF are similar such that 2AB = DE and BC = 8 cm, then EF =
Options
16 cm
12 cm
8 cm
4 cm
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Solution
Given: ΔABC and ΔDEF are similar triangles such that 2AB = DE and BC = 8 cm.
To find: EF
We know that if two triangles are similar then there sides are proportional.
Hence, for similar triangles ΔABC and ΔDEF
`(AB)/(DE)=(BC)/(EF)=(CA)/(FD)`
`(AB)/(DE)=(BC)/(EF)`
`1/2=8/(EF)`
`EF= 16cm`
Hence the correct answer is `a`.
Concept: Triangles Examples and Solutions
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