The base of a triangular field is 3 times its altitude. if the cost of sowing the field at rupees 58 per hectare is rupees 783, find its base and height.
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
= /2
Cost of sowing the field at rs 58 per hectare = 58 × 3×2/2 = 87×2
Therefore, 87×2 = 783
= 783/87 = 9
⇒ y = 3
Base = 3(3) = 9
Hence base is 9 and altitude is 3.
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