The perimeter of a triangular plot is 750 m. If the sides are in the ratio 5 : 12 : 13, then find the area of the plot.
A
18,750 sq. m
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B
19,550 sq. m
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C
20,250 sq.m
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D
21,050 sq.m
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Solution
The correct option is A 18,750 sq. m The sides of triangle be 5x, 12x and 13x. Perimeter of triangular plot = 750 5x+12x+13x=750 30x=750 x=25 5x=5×25=125 12x=12×25=300 13x=13×25=325 s=750/2=375 s−a=375−125=250 s−b=375−300=75 s−c=375−325=50 Area of a triangle =√s×(s−a)×(s−b)×(s−c) =√375×250×75×50 =18750 Area of the plot = 18750 sq. m