Question

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.

Answer 1

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.

Answer 2

here is your answer

Step-by-step explanation:

hope it helps