2019 AIME I Problems/Problem 11
The 2019 AIME I takes place on March 13, 2019.
Problem 11
In , the sides have integers lengths and
. Circle
has its center at the incenter of
. An excircle of
is a circle in the exterior of
that is tangent to one side of the triangle and tangent to the extensions of the other two sides. Suppose that the excircle tangent to
is internally tangent to
, and the other two excircles are both externally tangent to
. Find the minimum possible value of the perimeter of
.
Solution
See Also
2019 AIME 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 AIME Problems and Solutions |
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