Question

The base of a triangular field is three times it's height. If the cost of cultivating the field at rupees 36 per hectare is rupees 486, find it's base and height

Answer 1

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Let the height of triangular field be =h, then base = 3h
Now cost of per hectare is 36 and total cost =486
so, area of field = 486/36=13.5
we know that area of triangle is 1/2*b*h
therfore, 1/2*3h*h=13.5
h^2=13.5*2/3=9
h= under root 9=3
and base =3h=3*3=9 ans

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