in∆ABC, AB=9cm, BC=6 cm and CA=7.5cm . in ∆DEF, the corresponding side of BC is EF. here EF=8cm and if∆DEF~∆ABC, then the perimeter of ∆DEFwill be A) 22.3cm B) 25cm c) 27cm d) 30cm (mcq)
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Answer:
25cm
Step-by-step explanation:
Given:-
In triangle ABC,
AB = 9cm
BC = 6cm
CA = 7.5cm
In triangle DEF,
EF = 8cm
Triangle DEF is similar to Triangle ABC
So, Corresponding sides are in proportion,
AB/DE = BC/EF = FD/AC
Take,
AB/DE = BC/EF
9/DE = 6/8
DE = (4/3)*9
DE = 4(3)
DE = 12cm
Take,
BC/EF = FD/AC
6/8 = FD/7.5
(3/4)*7.5 = FD
FD = (22.5)/4 = 5.625cm = 5.6cm
Perimeter of triangle DEF = DE + EF + FD = 12 + 8 + 5.6 = 25.6cm
I hope it helps and I also think so the question you have given might be a bit wrong so please try to correct it..
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