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HMMT 2018 G2

  • Geometry
  • Answer

Points A,B,C,DA, B, C, D are chosen in the plane such that segments AB,BC,CD,DAA B, B C, C D, D A have lengths 2,7,52,7,5, 12 , respectively. Let mm be the minimum possible value of the length of segment ACA C and let MM be the maximum possible value of the length of segment ACA C. What is the ordered pair (m,M)(m, M) ?

Dataset text NuminaMath olympiads. Quoted with source.

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(7,9)

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