Difference between revisions of "1997 JBMO Problems/Problem 4"

(Problem)
Line 8: Line 8:
  
 
{{JBMO box|year=1997|num-b=3|num-a=5}}
 
{{JBMO box|year=1997|num-b=3|num-a=5}}
 +
 +
[[Category:Intermediate Geometry Problems]]

Revision as of 14:45, 17 September 2017

Problem

(Romania) Determine the triangle with sides $a,b,c$ and circumradius $R$ for which $R(b+c) = a\sqrt{bc}$.

Solution

See also

1997 JBMO (ProblemsResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5
All JBMO Problems and Solutions