18.A34 | Fall 2018 | Undergraduate

Mathematical Problem Solving (Putnam Seminar)

Course Description

This course is a seminar intended for undergraduate students who enjoy solving challenging mathematical problems, and to prepare them for the Putnam Competition. All students officially registered in the class are required to participate in the [William Lowell Putnam Mathematical …
This course is a seminar intended for undergraduate students who enjoy solving challenging mathematical problems, and to prepare them for the Putnam Competition. All students officially registered in the class are required to participate in the William Lowell Putnam Mathematical Competition.

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Three lines labeled as a, b, and c inside a triangle.
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).)