In triangle `A B C ,R(b+c)=asqrt(b c),w h e r eR` is the circumradius of the triangle. Then the triangle is a)isosceles but not right b)right but not isosceles c)right isosceles d)equilateral

Explanation

`R(b+c)=asqrt(bc)`

`R(b+c)=2RsinAsqrt(bc)`

`sinA=(b+c)/(2sqrt(bc))`

`(b+c)/(2sqrt(bc))<=1`

`(b+c)/(2sqrt(bc))-1<=0`

`(b+c-2sqrt(bc))/(2sqrt(bc))<=0`

`(sqrtb-sqrtc)^2<=0`

`sqrtb=sqrtc`

...