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4.  Discuss with your friends your findings.
                     (a)  Compare the results of the area obtained in Steps 1, 2 and 3. What can
                         you conclude?
                     (b)  What is the general formula to calculate the area of a triangle?

                 5.  State all the conclusions that can be made.


                 From the results of Exploration Activity 2, it is found that



                               b

                                       a                   a                  a


                 the area of a triangle with the length of base a and height b
                 is calculated by                                                        Base and height
                                                                                         are always at a
                                                     1
                                   area of triangle =   ab                               right angle.
                                                     2
                                                     1
                 In general, the area of a triangle =   × length of base × height
                                                     2


                                                   3            Group


                 Aim : To derive the formula for the area of parallelograms.
                 Instruction: Perform the activity in groups of four.

                             D                C                      D     F     c    C     E                 CHAPTER


                             b                                      b                                         10


                             A        a       B                      A        a       B

                                 Diagram (a)                                Diagram (b)
                 1.  Diagram (a) shows a rectangle  ABCD with length of base  a and height  b.
                     Referring to Diagram (a), state the area of ABCD in terms of a and b.

                 2.  Diagram (b) shows a parallelogram ABEF with the length of base a and height b.
                     Referring to Diagram (b),
                     (a)  state the length of  CE in terms of  a and  c based on the properties
                         of parallelogram.
                     (b)  state the length of DF in terms of a and c.
                     (c)  explain your findings.


                                                                                                       233
                                                                                Perimeter and Area



       10 TB Math F1.indd   233                                                                       11/10/16   12:19 PM
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