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In this diagram, BAC~ EDF. if the area of BAC = 6 in, what is the area of EDF.

In this diagram, BAC~ EDF. if the area of BAC = 6 in, what is the area of EDF.-example-1
User Kaveh
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1 Answer

5 votes

Answer:

2.7 square inch

Explanation:


\triangle BAC \sim \triangle EDF... (Given) \\


\therefore By area of similar triangle theorem:


(A(\triangle BAC))/(A(\triangle EDF)) = (BC^2)/(EF^2) \\\\</p><p>\therefore (6)/(A(\triangle EDF)) = (3^2)/(2^2) \\\\</p><p>\therefore (6)/(A(\triangle EDF)) = (9)/(4) \\\\</p><p>\therefore A(\triangle EDF) = (4* 6)/(9) \\\\</p><p>\therefore A(\triangle EDF) = (24)/(9) \\\\</p><p>\therefore A(\triangle EDF) = 2.6667\\\\</p><p>\huge \purple {\boxed {\therefore A(\triangle EDF) = 2.7\: in^2}}

User Anders Ekdahl
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