2015 UMO Problems/Problem 2

Problem

In $\triangle{ABC}, \overline{AC} = 13$ and $\overline{AB} = 20$ , and the length of the altitude from $A$ to $\overline{BC}$ is $12$ . If $M$ is the midpoint of $\overline{BC}$ , find all possible length(s) of $\overline{AM}$ , and demonstrate that these length(s) are achievable.

2015 UMO (Problems • Answer Key • Resources)
Preceded by Problem 1	Followed by Problem 3
1 • 2 • 3 • 4 • 5 • 6
All UMO Problems and Solutions

Page

Toolbox

Search

2015 UMO Problems/Problem 2

Problem

Solution

See Also