Question

The base of a triangular region is three times its height. If the cost of cultivating the field at rupees 1080 per hectare is 14580 find its base and height

Answer 1

Answer: h = 3 , b =9

Step-by-step explanation:

Let height = h ⇔ base = 3h

Area = 1/2 * b * h =$\frac{3h*h}{2}$ = 3h²/2

Area = Total Cost / Cost per hectare = 14580/1080=27/2

⇒$\frac{27}{2}= \frac{ 3h*h}{2}$

⇒27=3h²

⇒h²=9

⇒h=3 (∵h>0,h≠-3)

Base = 3h =3*3 = 9