PO 45 cm. The height of a triangular field is twice its base. If the cost of cultivating the field at 3400 per hectare is 6400. Find its base and height. [1 hectare = 10000 m²].
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Answer:
Given
Let ABC be a triangle and CD is ⊥ to AB.
Given AB = 3CD---(1)
cost of cultivating per hectare = 1080
Total cost in cultivating field ABC = 14580 Rs
So area of field ABC =
1080
14580
hectare
area of field ABC =13.5 hectare
or 135000m
2
Now we know
area of triangle =
2
1
(AB×CD)
using eq(1) we get
2
1
×3CD×CD=135000
(CD)
2
=
3
270000
=90000
CD=300m
and AB=900m
Hence height of field is =300m
and Base of field is =900m
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