2015 UMO Problems/Problem 6
Problem
A triangular pyramid with apex 
and base 
has the property that the perimeter of 
is 
. Additionally, one can place a cylinder of radius 
and height 
completely inside the pyramid such that one of its bases is in the same plane as .
What is the minimum possible height from to apex ? Show that this height is achievable.
Solution
See Also
| 2015 UMO (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem Last Problem | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All UMO Problems and Solutions | ||
