Page 14 - Maths Skill - 6
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12                                                                                                  Maths

        Example 3:  Represent the following triangular or square numbers geometrically.

                       (a)  4      (b)  6       (c)  10      (d)  16      (e)  21      (f)  36

        Solution:      (a)   Since 4 = 2 × 2 hence, it is a square number. It can be represented as       2


                                                                                                          4       2






                      (b)   Since 6 is a triangular number, hence it is represented as










                       (c)   10 is a triangular number, so it is represented as










                      (d)  16 = 4 × 4 can be represented as











                       (e)   21 is a triangular number, hence can be represented as










                       (f)   36  =  6  ×  6  it  is  a  square  number.  It  appears  in  triangular  numbers  as  well
                           (1, 3, 6, 10, 15, 21, 28, 36, .......................). So it can be represented in both the ways.















                                           36 as a square number                   36 as a triangular number
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