2019 CIME I Problems/Problem 14
Revision as of 19:51, 15 January 2024 by R00tsofunity (talk | contribs)
Let 
be a triangle with circumcenter 
and incenter 
such that the lengths of the three segments 
, 
, and 
form an increasing arithmetic progression in this order. If 
and 
, then the distance from 
to can be expressed as 
, where 
and 
are relatively prime positive integers. Find 
.
Video Solution by MOP 2024
https://youtube.com/watch?v=hIYTLWi1HW0
~r00tsOfUnity
See also
| 2019 CIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 13 |
Followed by Problem 15 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All CIME Problems and Solutions | ||
The problems on this page are copyrighted by the MAC's Christmas Mathematics Competitions. 
