2. The base of a triangular field is three times its altitude. If the cost of
sowing the field at Rs 58 per hectare is Rs 783, find its base and height,
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area of triangular field=cost of sowing fields/ rate of sowing
783/58= 13.5 hectare
1 hectare= 10000m²
13.5 hectare= 135000²
area of triangular field= 13.5 hectare= 135000m²
let altitude of triangular field be h
The base of triangular field is three times it's altitude.
Hence.,base of triangular field= 2h
area of field= 1/2×b×h
1/2 3h²=135000
we get h=300
hence ,altitude=h=300m
base=900m
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