Question

the base of a triangular field is 3 times its height if the cost of cultivating the field at rs 1080 per hectare is rs 14580 find its base and height

Answer 1

hope you understand this answer

Answer 2

Answer:

The height of the field is 3 cm and base is 9 cm.

Step-by-step explanation:

Cost of 1 hectare = rs 1080

Area of cost Rs. 14580 = $\frac{14580}{1080} =13.5$

Thus the area of field = 13.5 square cm.

Area of triangle = $\frac{1}{2} \times base \times height$

Let the height be h

Since we are given that the base of a triangular field is 3 times its height

So, base = 3h

So, $13.5=\frac{1}{2} \times 3h \times h$

$13.5=\frac{1}{2} \times 3h^2$

$27= 3h^2$

$9=h^2$

$3=h$

So, base = 3h = 3*3 =9 cm

Hence the height of the field is 3 cm and base is 9 cm.