If the altitude of a triangle is one third of its base if the cost of sowing the field at rs 58 per hectare is rs 783 then it's altitude is?

let the altitude of the triangle be y

then the base will be 3y

area of triangle is 1/2 x base x altitude

                          =1/2 x 3y x y

                          = 1/2 x   3y^{2}  

                          =   3y^{2} /2

cost of sowing the field at rs 58 per hectare = 58 × 3x2/2 = 87x2

therefore, 87x2 = 783

y^{2}   = 783/87 = 9

⇒ y = 3

base = 3(3) = 9

hence base is 9 and altitude is 3.

step-by-step explanation:

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