Difference between revisions of "1998 IMO Problems/Problem 5"
(Created page with "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 M K meets the lines...") |
|||
| Line 1: | Line 1: | ||
| + | ==Problem== | ||
| + | |||
Let I be the incenter of triangle ABC. Let the incircle of ABC touch the sides | 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 | BC, CA, and AB at K, L, and M , respectively. The line through B parallel | ||
to M K meets the lines LM and LK at R and S, respectively. Prove that angle | to M K meets the lines LM and LK at R and S, respectively. Prove that angle | ||
RIS is acute. | RIS is acute. | ||
| + | |||
| + | ==Solution== | ||
| + | {{solution}} | ||
| + | |||
| + | ==See Also== | ||
| + | |||
| + | {{IMO box|year=1998|num-b=4|num-a=6}} | ||
Revision as of 22:50, 18 November 2023
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 M K meets the lines LM and LK at R and S, respectively. Prove that angle RIS is acute.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
| 1998 IMO (Problems) • Resources | ||
| Preceded by Problem 4 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 6 |
| All IMO Problems and Solutions | ||
