2023 AIME I Problems/Problem 8

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There is a rhombus ABCD with an incircle. A point P is chosen somewhere on the incircle, and the distances from P to sides AB, CD, and BC, are 9, 16, and 5, respectively. Figure out the perimeter.

See also

2023 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions

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