4

Part of 1997 Junior Balkan MO

Problems(1)

find the triangle with R(b+c)=a\sqrt{bc}

Source: JBMO 1997, Problem 4

Determine the triangle with sides

a,b,c

and circumradius

R

R(b+c) = a\sqrt{bc}

geometrycircumcircletrigonometrytrig identitiesLaw of Sines