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13.1  The Pythagoras’ Theorem


                     What is a hypotenuse?
                                                                                   LEARNING
                                                                                         STANDARDS
                                                                                 Identify and define
                                                                                 the hypotenuse of a
                                                                                 right-angled triangle.




               We  are often told about the size of the monitor screen of a computer as 19 inches,
               21 inches or 24 inches and so forth. The size is measured according to the length of the
               monitor diagonally. What is the relationship between the size of the monitor screen and
               the length and width of the monitor screen?

                                                  1            Group



               Aim:  To identify the hypotenuse of a right-angled triangle.
               Instruction:  •  Perform the activity in groups of four.
                            •  Open the folder downloaded from page vii.

               1.  Open  the  file  Hypotenuse.ggb using  GeoGebra.
                   The screen displayed shows a right-angled triangle
                   with the length of each side.
               2.  Identify and record the longest side.
               3.  Click  and drag points  A,  B or  C to change the
                   shape of the triangle and repeat the exploration in
                   Step 2.
               4.  Discuss your findings with your friends.


               From the results of Exploration Activity 1, it is found that the longest side of a right-
               angled triangle is always the side opposite to the right angle.

                    The longest side opposite to the right angle is known as the hypotenuse of the right-
               angled triangle.



       CHAPTER
      13
                              a
                          95°
                                                          a
                Discuss with your friends and explain why the side labelled as a is not the hypotenuse.



           294
           Chapter 13



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