If a, b, c are the sides ofa triangle t...

If `a, b, c` are the sides ofa triangle then the expression `(a^2+b^2+c^2)/(ab+bc + ca)` lies in the interval

A

`{x in R |x gt 1}`

B

`{ x in R |1 le x lt 2}`

C

`{ x in R |1lt x lt 2}`

D

`{x in R|1 le x le 2}`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If a^(2)+b^(2)+c^(2)=1 then ab+bc+ca lies in the interval

If a, b, c are sides of a triangle, then ((a+b+c)^(2))/(ab+bc+ca) always belongs to

If a,b,c are the lengths of the sides of a triangle,then the range of (ab+bc+ca)/(a^(2)+b^(2)+c^(2))

If a,b,c are the sides of a triangle ABC such that x^(2)-2(a+b+c)x+3 lambda(ab+bc+ca)=0 has real roots.then

If a,b,c are sides an acute angle triangle satisfying a^(2)+b^(2)+c^(2)=6 then (ab+bc+ca) can be equal to