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Similarity


                (c)








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                                                           (a)  Which triangle is similar to         Mathematics for Secondary Schools
                                                                YOQ?
                                                          (b)  Given that OP  =   4 m,
                                                               OX  =   7 m,   PX  =   6 m,

                                                               YQ  =   4.5 m,  calculate the
            14.  In the following figure, explain why          values of  OY  and  OQ.

                  ABC and    ADE  are similar?
                If     AB  =  8 dm,   AC  =  9 dm,    16. A triangle ABC is defined such that
                                                                        ˆ
                 BC  =   6 dm  and  AD  =   12 dm,        CD  bisects  ACB.
                calculate the values of  AE and DE.                     AD     BD
                                                          (a) Prove that     =    .
                                                                        AC     BC
                                                          (b) If AC 36 cm=   and BC =  28 cm,
                                                               find  length  of  side  AD  if
                                                               AB 16 cm. =

                                                      17. In triangle EFG, HL  is drawn inside
                                                          the triangle  parallel  to  EF. Prove

                                                               FL    EH
                                                          that     =     and hence find FL if
                                                               LG    HG
             15. Study  the  following  figure  and       H = 35 cm, HG = 44 cm, and
                answer the questions that follow.         LG = 36 cm.

















                                                    59
           Student's Book Form Two


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     MATHEMATIC F2 v5.indd   59                                                           11/10/2024   20:11:46
     MATHEMATIC F2 v5.indd   59
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