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India National Olympiad
1988 India National Olympiad
9
9
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1988 India National Olympiad
Problems
(1)
Indian Mathematical Olympiad 1988 - Problem 9
Source:
8/14/2009
Show that for a triangle with radii of circumcircle and incircle equal to
R
R
R
,
r
r
r
respectively, the inequality
R
≥
2
r
R \geq 2r
R
≥
2
r
holds.
geometry
circumcircle
inequalities
geometry proposed