∆ABC ~ ∆DEF. If AB = 4 cm, BC = 3.5 cm, CA = 2.5 cm and DF = 7.5 cm, find the perimeter of ∆DEF. (2012, 2017D)
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∆ABC~∆DEF
so the lines are in proportion
AB/DE=BC/EF=AC/DF
2.5/7.5=4/DE=3.5/EF
DE=4×7.5/2.5
DE=4×0.3
DE=1.2
2.5/7.5=3.5/EF
EF=3.5×7.5/2.5
EF=3.5×0.3
EF=10.5
perimeter of ∆DEF =DE+EF+DF
=1.2+10.5+7.5
=1.2+18
=19.2
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