SOLUTION: if a,b,c are sides of triangle then find maximum value of expression (a/(b+c)) +(b/(a+c)) +(c/(b+a)) its solution option:- 1)1 2)2 3)3/2 4)4

Algebra ->  Rational-functions -> SOLUTION: if a,b,c are sides of triangle then find maximum value of expression (a/(b+c)) +(b/(a+c)) +(c/(b+a)) its solution option:- 1)1 2)2 3)3/2 4)4      Log On


   



Question 775345: if a,b,c are sides of triangle then find maximum value of expression (a/(b+c)) +(b/(a+c)) +(c/(b+a)) its solution
option:-
1)1
2)2
3)3/2
4)4

Answer by Edwin McCravy(20064) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%2F%28b%2Bc%29%29+%2B%28b%2F%28a%2Bc%29%29+%2B%28c%2F%28b%2Ba%29%29%22%22=%22%22%22%22=%22%22

and if you reduce any one of the letters, you will reduce the numerator more
that you've reduced the denominator, so the maximum value of the fraction is
when all three sides are equal: 

When a=b=c

%28a%2F%28a%2Ba%29%29+%2B%28a%2F%28a%2Ba%29%29+%2B%28a%2F%28a%2Ba%29%29 =

a%2F%282a%29%2Ba%2F%282a%29%2Ba%2F%282a%29 =

1%2F2%2B1%2F2%2B1%2F2

3%2F2

Edwin