1998 IMO Problems/Problem 5

Problem

Let $I$ be the incenter of triangle $ABC$ . Let the incircle of $ABC$ touch the sides $BC$ , $CA$ , and $AB$ at $K$ , $L$ , and $M$ , respectively. The line through $B$ parallel to $MK$ meets the lines $LM$ and $LK$ at $R$ and $S$ , respectively. Prove that angle $RIS$ is acute.

Solution

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1998 IMO (Problems) • Resources
Preceded by Problem 4	1 • 2 • 3 • 4 • 5 • 6	Followed by Problem 6
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1998 IMO Problems/Problem 5

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