the base of a triangular field is three times its height .if the cost of cultivating the field at Rs 36 per hectare is Rs486, find its base and height.
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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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