Question

the base of a triangular field is three times its height.if the cost of cultivating the field at 58per hectare is rs 783.find its base height.

Answer 1

Answer:

base = 9m

height = 3m

Step-by-step explanation:

let the height of triangle be h

base of triangle is 3times the height = 3h

cost of cultivating rs 58

total cost is rs 783

area of triangular Field × cost per hectare= 783

$\frac{1}{2} \times 3h \times h \times 58 = 783 \\ 3 {h}^{2} \times 58 = 783 \times 2 \\ {h}^{2} = \frac{783 \times 2}{3 \times 58} \\ {h}^{2} = \frac{261}{29} \\ {h}^{2} = 9 \\ h = \sqrt{9} = 3m \\ base \: = 3h \\ b = 3 \times 3 = 9$

hope you get your answer