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ICSE Class 8 Answered

the altitude and the base of a triangular field are in the ratio 6:5.If the cost is 49,57,200 at the rate of 36,720 per hectare and 1 hectare =10,000 sq. m,find (in metre) dimensions of the field.
Asked by Vismaya Girish | 16 Feb, 2018, 07:57: PM
answered-by-expert Expert Answer
begin mathsize 16px style let space altitude space of space trianglar space field space is space 6 straight x
so space base space equals 5 straight x
cost space of space 1 space hectare equals 36750 rs
total space cost equals 4957200
so space total space area space of space field equals 4957200 over 36720 equals 135 space hectares
equals 1 half cross times base cross times height
1350000 space straight m squared equals 1 half cross times 5 straight x cross times 6 straight x
15 straight x squared equals 1350000
straight x equals 300
base equals 1500 straight m
altitude equals 1800 straight m
now space considering space the space triangle space right space angled
hypotenuse equals square root of base squared plus altitude squared end root
hy equals 100 square root of 549

end style
Answered by Arun | 18 Feb, 2018, 10:33: AM
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