Q5 of 69 Page 238

Find the area of a triangular field whose sides are 91m, 98m and 105m in length. Find the height corresponding to the longest side.

Given,


a = 91 m


b = 98 m


c = 105 m


Therefore,


s =


=


= 147


We know that,


Area =


=


=


=


= 49 × 3 × 2 × 2 × 7


= 4116 m2


Longest side = c = 105 cm


Let, h be the height corresponding to the longest side of the triangle


Area of triangle =


4116 =


4116 × 2 = 2 × 4116


h =


= 78.4 m


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