The base of a triangular shape field is 3 times its height. If the cost of cultivating the field at Rs.73.44 per hector is Rs. 991.44, then the height of triangular field (in meters) is

Let, the hight of triangular field be = h

  Then base = 3x 

Now cost per hectare 73.44 is Rs 991.44

So, area of field = $$ \dfrac{991.44}{73.44}$$

$$ \Rightarrow 13.5$$

we know that area of triangle = $$ \dfrac{1}{2} \times b \times h$$

Then,

$$ \Rightarrow \dfrac{1}{2} \times 3h \times h = 13.5$$

$$ \Rightarrow 3h^2 = 27$$

$$ \Rightarrow h^2 = \dfrac{27}{3}$$

$$ \Rightarrow h^2 = 9$$

$$ \Rightarrow h = 3$$

In meters it will be   

   $$ \Rightarrow (h \times 100)m$$

  $$ \Rightarrow (3 \times 100)m $$ 

   $$ \Rightarrow 300m$$