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CBSE Class 9 Answered

The perimeter of a triangular field is 144 m and the ratio of the sides is 3 : 4 : 5. Find the area of the field
Asked by Topperlearning User | 14 Aug, 2014, 03:21: PM
answered-by-expert Expert Answer

Let a, b, c be the lengths of the sides of the triangular field.

                      = K (say)                                                               …..(Given)
                                                                      …..(1)
         Given that perimeter = 144 m
                   (3K + 4 K + 5 K) = 144 m
                   12K = 144  K = 12
         Putting for K (1), we get
                        a = 3 K = 3 (12) = 36 m
                        b = 4 K = 4 (12) = 48 m
                        c = 5 K = 5 (12) = 60 m
        
         By Heron's formula,
                        Area of =
                                          =
                                          =  =
                                          =  =
                                          =  (36) (6) (4) = (216) (4) = 864 m2
Answered by | 14 Aug, 2014, 05:21: PM

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