The sides of a triangular plot are in the ratio 3:57 and its per
is
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Step-by-step explanation:
THE SIDES OF A TRIANGULAR PLOT ARE IN THE RATIO 3:5:7 AND PERIMETER IS 300M. FIND ITS AREA BY HERONS FORMULA.
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Step-by-step explanation:
sides of a the triangular plot are in the ratio 3:5:7. So, let the sides of the triangle be 3x, 5x and 7x.
Also it is given that the perimeter of the triangle is 300 m therefore,
3x+5x+7x=300
15x=300
x=20
Therefore, the sides of the triangle are 60,100 and 140.
Now using herons formula:
S=
2
60+100+140
=
2
300
=150 m
Area of the triangle is:
A=
s(s−a)(s−b)(s−c)
=
150(150−60)(150−100)(150−140)
=
150×90×50×10
=
6750000
=1500
3
m
2
Hence, area of the triangular plot is 1500
3
m
2
.
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