MathDB

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

Source: JBMO 1997, Problem 4

October 30, 2005

geometrycircumcircletrigonometrytrig identitiesLaw of Sines

Problem Statement

Determine the triangle with sides

a,b,c

and circumradius

R

for which

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

. Romania