PUMaC 2024 · 几何（B 组） · 第 8 题

PUMaC 2024 — Geometry (Division B) — Problem 8

Let △ ABC be a triangle with AB = 10. Let D be a point on the opposite side of line AC as B so that △ ACD is directly similar to △ ABC (i.e. ∠ ACD = ∠ ABC , etc). Let M be the 2 midpoint of AD . Given that A is the centroid of triangle △ BCM , compute BC . 1 Name: Team: Write answers in table below: Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 2

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