The base of triangular field is three times it's height and it's area is 1350m ^2. Find the base and height of the field.
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let
height = h m
base =b =3h m
area of the field =1350 m^2---(1)
area =bh/2---(2)
(2)=(1)
bh/2=1350
3h*h/2=1350
h^2=(1350×2)/3
h^2=450
h ^2= 9*2*25
h = 15 root2 m
base = 3h
=3×15 root2
=45 root2 m
height = h m
base =b =3h m
area of the field =1350 m^2---(1)
area =bh/2---(2)
(2)=(1)
bh/2=1350
3h*h/2=1350
h^2=(1350×2)/3
h^2=450
h ^2= 9*2*25
h = 15 root2 m
base = 3h
=3×15 root2
=45 root2 m
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