18.A34 | Fall 2018 | Undergraduate

Mathematical Problem Solving (Putnam Seminar)

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Alt text:
Three lines labeled as a, b, and c inside a triangle.
Caption:
This is an equilateral triangle. Can you find all points x in the triangle that minimize the sum a + b + c of the distances a, b, c of x from the three sides of the triangle? (Image adapted by MIT OpenCourseWare from Supplementary Problems #3 (PDF).)
Three lines labeled as a, b, and c inside a triangle.

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