the base of a triangluar field is three times its height if the cost of cultivating the field at 1080 per hectare is 14580 find its base and height
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Step-by-step explanation:
Soln:-
Given,
Base is three time it's height.
Area of triangle will be division of total price by price oer hectre.
so,
= 13.5 hectre
now,
let's height be x
the base will be 3x.
=> 13.5 = 1/2 × 3x × x
=> 13.5 =1/2 × 3x²
=> 13.5×2=3x²
=> 27=3x²
=> x²= 27/3
=> x²=9
=> x= ✓9
x=3
Then,
height=3
base = 3x
3×3=9
Answered by
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Answer:
we know, 1 hectare=10,000m^2
area of the triangular field
=14580/1080 hectare
=1458/108hectare
=162/12 hectare
=27/2 hectare
=27/2×10,000m^2
=27×5,000m^2
=135,000 m^2
let the height of the triangle is h m
so base =3h m
so area =1/2.3h.h m^2
=3/2h^2 m^2
so,
3/2h^2=135,000
h^2=135,000×2/3=45,000×2
h^2=90,000
=> h=300
so height of the triangle is 300m and base of the triangle=300×3m=900 m
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