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In a triangleABC 1/b+c +1/c+a =3/a+b+c then Find angle c?

In a triangleABC 1/b+c +1/c+a =3/a+b+c then
Find angle c?
 

Grade:12th pass

1 Answers

Valli Sundari
26 Points
5 years ago
given 1/b+c  + 1/c+a  =  3/a+b+c
 
so on simplification c+a+b+c/ab+ac+bc+c  =  3    is obtained  
 
on further simplification equation ab = b2 – c2 + a2     is obtained
 
as we know  cos C =  b2 - c2 +a2 / 2ab
 
so the result obtained in the previous case we solve the equations to obtain the value of cosC as ½  so hence the angle c is sixty degrees
 

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