Difference between revisions of "2020 CIME I Problems/Problem 11"
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Latest revision as of 15:20, 31 August 2020
Problem 11
An 
of a triangle is a circle tangent to one of the sides of the triangle and the extensions of the other two sides. Let 
be a triangle with 
and let 
denote the radii of the excircles opposite to 
, respectively. If 
and 
, then 
can be expressed in the form 
, where 
and 
are positive integers and isn't divisible by the square of any prime. Find 
.
Solution
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See also
| 2020 CIME I (Problems • Answer Key • Resources) | ||
| Preceded by Problem 10 |
Followed by Problem 12 | |
| 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. 
