Q. 84.4( 15 Votes )

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Answer :

Given,


First side of the triangular field = 85 m


Second side of the triangular field = 154 m


Let the third side be x


Perimeter of the triangular field = 324 m


85 m + 154 m + x = 324 m


x = 324 – 239


x = 85 m


Let the three sides of the triangle be:


a = 85 m, b = 154n m and c = 85 m


Now,


s =


=


=


= 162


We know that,


Area of triangle =


=


=


=


= 11 × 9 × 7 × 2 × 2


= 2771 m2


We also know that,


Area of triangle =


2772 =


2772 = 77h


h =


h = 36 m


Therefore,


The length of the perpendicular from the opposite vertex on the side measuring 154 m is 36 m.


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