Question

The base of triangle field is 3 times altitude. If the cost of sowing the field at Rs58 per hectare is 783. Find its height and base

Answer 1

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Answer 2

height=x ,
base= 3x
Area of triangle =
$\frac{1}{2} \times base \times height$
$\frac{1}{2} \times x \times 3x$
$\frac{3}{2} {x}^{2}$
1 hectare =10000 sq metre
Rate of sowing of the field per hectare = rs 58
total cost of sowing of the field per hectare = 783

total cost = Area of triangle * rs 58
$\frac{3}{2} {x}^{2} \times \frac{58}{10000} = 783$
${ x}^{2} = \frac{783}{58} \times \frac{2}{3} \times 10000$
$\sqrt{90000}$
300m
height = 300m
base = 300*3
= 900 m