If ∆ABC ~ ∆DEF such that 2AB = DE and BC = 6 cm, find EF. – InterviewSolution

InterviewSolution

1.

If ∆ABC ~ ∆DEF such that 2AB = DE and BC = 6 cm, find EF.

Answer»

∆ABC ~ ∆DEF (given)

2AB = DE, BC = 6 cm (given)

∠E = ∠B and ∠D = ∠A and ∠F = ∠C

2AB = DE

=> AB/DE = 1/2

Therefore,

AB/DE = BC/EF

1/2 = 6/EF

or EF = 12 cm

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