Question:

If triangle ABC~triangle DEF, AB=8, CB=4, and DE=12, find FE?

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If triangle ABC~triangle DEF, AB=8, CB=4, and DE=12, find FE?

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  1. AB/CB = DE/FE

    8/4 = 12/FE

    FE=6


  2. if BC = 4 then FE= 4

  3. fe==============4cm

  4. since the two triangle are similiar

    AB/DE = CB/FE

    8/12 = 4/FE

    8 FE = 48

    FE = 6

  5. FE = 6

  6. TRI - ABC~ TRI DEF

        then,     AB = 8

                     DE = 12

                     CB = 4

        since,   TRI - ABC~ TRI DEF            

    therefore,DE=AC (C.P.C.T)=12

                     AB =DF=8

                     CB = EF(FE)=4

                                hence proved!

    *congruency means overlapping.

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