Kvant Math Problem 881

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kvantmathematicsolympiad

Verified: no
Verdicts: UNKNOWN + UNKNOWN
Solve time: 26m56s
Source on kvant.digital

Problem

Prove that the sum of the distances from an arbitrary point of the plane to three vertices of an isosceles trapezoid is greater than the distance from that point to the fourth vertex.

S. E. Rukshin

Leningrad City Mathematical Olympiad (Problem 50, 1984)

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