Question

the base of a triangular field is three times its height its height if the cost of cultivating the field at rs 36 per hectare is rs 486 find its base and height.

Answer 1

Let the height of the triangle be x.

Then the base of the triangular field will be 3 times its height = 3x.

We know that Area of triangle = 1/2 * b * h

                                                   = 1/2 * 3x * x

                                                   = 3x^2/2.


Then the cost of cultivating the field at 36 per hectare = 36 * 3x^2/2

                                                                                           = 108x^2/2

                                                                                           = 54x^2.


Given that Total cost = 486.

Therefore 54x^2 = 486

                   x^2 = 486/54

                   x^2 = 9

                   x = 3.

If the base is 3 then the height will be 3 * 3 = 9.

Base = 3m .

height = 9m.


Hope this helps!

Answer 2

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