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Omni-MATH / Let ABCD be a quadrilateral with A=(3,4),B=(9,−40),C=(−5,−12),D=(−7,24). Let P be a point in the plane (not necessarily inside the quadrilateral). Find the minimum possible value o…

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problem

Let ABCDA B C D be a quadrilateral with A=(3,4),B=(9,−40),C=(−5,−12),D=(−7,24)A=(3,4), B=(9,-40), C=(-5,-12), D=(-7,24). Let PP be a point in the plane (not necessarily inside the quadrilateral). Find the minimum possible value of AP+BP+CP+DPA P+B P+C P+D P.
Plain-text mathematical notation (without MathML)
Let ABCD be a quadrilateral with A=(3,4),B=(9,−40),C=(−5,−12),D=(−7,24). Let P be a point in the plane (not necessarily inside the quadrilateral). Find the minimum possible value of AP+BP+CP+DP.
Original LaTeX notation
Let $A B C D$ be a quadrilateral with $A=(3,4), B=(9,-40), C=(-5,-12), D=(-7,24)$. Let $P$ be a point in the plane (not necessarily inside the quadrilateral). Find the minimum possible value of $A P+B P+C P+D P$.

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Source and history

task_id
5cbab9b0-5ada-583c-b133-14edbca616db
task_key
test--5cbab9b0-5ada-583c-b133-14edbca616db
task_revision_id
1
config / split
/ test

Official source

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