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2024 Portuguese MO Finals Day 1 P2

Source: 2024 Portuguese MO Finals Day 1 P2

March 24, 2024

geometry

Problem Statement

Let

ABC

be a triangle and

AD = 12

and

F

the midpoints of sides

BC, AC

and

BC

. Medians

AD

and

BE

are perpendicular,

AD = 12

and

BE = 9

. What is the value of

CF

?

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