The sides of a triangular field are in the ratio 2 : 3 : 4 and its perimeter is 180 m find its area.
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use area of scalene triangle to solve this question
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the sides of a triangle are 2x,3x,4x.
the perimeter of the triangle is =2x+3x+4x=9x.
9x=180,
x=20.
the sides of the triangle are 40,60,80.
the half of the perimeter is s=90m.
the area of the triangle is=√[s(s-a)(s-b)(s-c)]=√[90×(90-40)(90-60)(90-80)]=√[90×50×30×10]=1161.9m^2
the perimeter of the triangle is =2x+3x+4x=9x.
9x=180,
x=20.
the sides of the triangle are 40,60,80.
the half of the perimeter is s=90m.
the area of the triangle is=√[s(s-a)(s-b)(s-c)]=√[90×(90-40)(90-60)(90-80)]=√[90×50×30×10]=1161.9m^2
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