1997 JBMO Problems/Problem 4

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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