In the given question we are to find the area of ΔDEF, if BC = 3 cm, EF = 4 cm and ar(ABC) = 54 cm2 by using basic proportionality theorem
ML Aggarwal Avichal Publication chapter 13.3, question no 3
Rajan@2021Guru
ABC ∼ DEF . If BC = 3 cm, EF = 4 cm and ar(ABC) = 54 cm 2 , then determine the area of ar(DEF)
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For similar triangles (BC/EF)2=ArΔABC/ArΔDEF
(3/4)2=54/Ar(ΔDEF)
=54×16/9
=96 cm2