PUMaC 2018 · 团队赛 · 第 7 题

PUMaC 2018 — Team Round — Problem 7

Let triangle 4 M N P have side lengths M N = 13 , N P = 89, and P M = 100. Define points S, R, B as midpoints of M N, N P, P M respectively. A line ` cuts lines M N, N P, P M in points 2 I, J, A , respectively. Find the minimum value of ( SI + RJ + BA ) .

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