Math, asked by nishalakra5839, 11 months ago

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.

Answers

Answered by kartik2507
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

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