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2023 Fall LMT Speed p18 - square geo

Source:

March 2, 2024
geometry

Problem Statement

In square ABCDABCD with side length 22, let MM be the midpoint of ABAB. Let NN be a point on ADAD such that AN=2NDAN = 2ND. Let point PP be the intersection of segment MNMN and diagonal ACAC. Find the area of triangle BPMBPM.
Proposed by Jacob Xu
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