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                 For each of the following, identify the hypotenuse.
                 (a)   A                                     (b)             S


                                                                  P               R
                      B              C

                                                                                 Q
                 (a)  AC is the hypotenuse.    The side opposite to the right angle.

                 (b)  PR is the hypotenuse of triangle PSR.
                     PQ is the hypotenuse of triangle PRQ.
                     Self Practice      13.1a

                 1.  For each of the following, identify the hypotenuse.
                     (a)   B                     (b)        b               (c)               R
                                          C                                                S
                                                       a        c                                 Q
                                                                                T
                         A
                                                                                     P
                      What is the relationship between the sides
                      of a right-angled triangle?                                 LEARNING
                                                                                        STANDARDS
                                                    2       Flip              Determine the relationship
                                                                              between the sides of a
                                                          Classroom
                                                                              right-angled triangle. Hence,
                 Aim: To explore and explain the Pythagoras’ theorem.         explain the Pythagoras’
                 Instruction:  •  Explore by yourself before the lesson       theorem by referring to
                                 begins and discuss in groups of four         the relationship.
                                 during the lesson.
                              •  Open the folder downloaded from page vii.

                 1.  Open the f ile  Pythagoras.ggb using  GeoGebra.
                     The screen displayed shows a right-angled triangle
                     ABC with a square drawn on each side of the
                     triangle.
                 2.  Click and drag the coloured shapes in the square                                         CHAPTER
                     on sides  AB and  BC, and move them into the
                     square on side AC. Do all the coloured shapes f ill                                      13
                     up the square on side AC perfectly?
                 3.  Click  and  drag  the  slider  ‘Move  all’  or  click  at
                     the checkboxes ‘Show line guides’ and ‘Move one
                     by one’ for help.


                                                                                                       295
                                                                           The Pythagoras’ Theorem



       13 TB Math F1.indd   295                                                                       11/10/16   12:22 PM
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