1997 JBMO Problems/Problem 4
Problem
Determine the triangle with sides and circumradius
for which
.
Solution
Solving for yields
. We can substitute
into the area formula
to get
We also know that
, where
is the angle between sides
and
Substituting this yields
Since
is inside a triangle,
.
See Also
1997 JBMO (Problems • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
1 • 2 • 3 • 4 • 5 | ||
All JBMO Problems and Solutions |