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Matematik  Tingkatan 1   Bab 13 Teorem Pythagoras


                                                                  KANDUNGAN
                                            Praktis Berfomat                        PT3



                  1.  Rajah di bawah menunjukkan sebuah segi tiga bersudut        (b)  Lengkapkan hubungan antara sisi a, b dan c dalam
                     tegak.                                                   rajah di bawah.
                     The diagram shows a right-angled triangle.               Complete the relationship between a, b and c in the
                                                                              diagram below.
                                                                                                      [2 markah / 2 marks]
                                        14
                                                9                                                         C
                                                                                                  c
                                                                                         D
                                          x                                                               a
                                                                                             b
                      Antara berikut,  yang manakah  benar mengenai                            A     a
                     hubungan sisi tersebut?                                                             B
                     Which of the following is correct about the relationship of      Jawapan / Answer:
                     the sides?
                                                                               2
                             2
                         2
                                                    2
                                                       2
                     A  x  + 9  = 14      C  14  + 9  = x                     c  =  2a 2    +   b 2
                                                2
                                  2
                                               2
                                                  2
                          2
                     B  14  + x  = 9      D  9  + x  = 14 2
                              2
                                                                          (c)  Rajah di bawah menunjukkan dua buah segi tiga
                  2.  Gariskan trirangkap Pythagoras yang betul.              bersudut tegak.
                     Underline the correct Pythagorean triples.
                                                                              The diagram shows two right-angled triangles.
                                                 [4 markah / 4 marks]
                     Jawapan / Answer:                                                         11 cm
                         (3, 4, 6)     (4, 8, 15)     (5, 12, 13)
                                                                                       8 cm    x cm
                         (6, 8, 10)    (7, 24, 26)    (8, 15, 17)                                         9 cm
                        (9, 40, 41)   (10, 18, 25)   (12, 30, 36)
                                                                                                 y cm

                  3.  (a)  Kenal pasti hipotenus dalam  setiap  segi tiga
                         berikut pada ruang jawapan di bawah.                 Hitung nilai x dan y.
                         Identify the hypotenuse in each of the following triangles      Calculate the values of x and y.
                         in the answer space.                                                         [4 markah / 4 marks]
                                                                              Jawapan / Answer:
                                        B                                      2   2    2
                                                                                x  + 8  = 11
                                                                                   2
                                                                                        2
                                                                                   x  = 11  – 8 2
                                                   C
                                                                                     = 121 – 64
                                            E                                        = 57
                                  A                D                               x =  57
                                                                                     = 7.55
                                                 [4 markah / 4 marks]
                                                                                   2
                                                                                   y  = 7.55  + 9 2
                                                                                          2
                     Jawapan / Answer:
                                                                                     = 57 + 81
                        Segi tiga                                                    = 138
                        Triangle    ABC    ADC      BEA    BEC
                                                                                   y =  138
                       Hipotenus    AC      AC      AB      BC
                       Hypotenuse                                                    = 11.75
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