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Question

ΔABCΔDEF such that ar (ΔABC) = 64 cm2 and ar (ΔDEF)=169cm2. If BC = 4 cm, find EF.


Solution

Since triangle ABC is similar to triangle DEF.

 Therefore(AreaABC)(AreaDEF)=BC2EF2

 Because the ratio of area of two similar triangles is equal to the ratio of square of their corresponding sides.

 64169=42EF

   616964                                                                       

EF = 42.25 cm

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