PUMaC 2024 · 几何（B 组） · 第 3 题

PUMaC 2024 — Geometry (Division B) — Problem 3

The following three squares are inscribed within each other such that they all share the same center, and the largest and smallest squares have parallel sides. If the largest square has side length 17 and the middle square has side length 13, the side length of the smallest square can a be expressed in the form , where a and b are relatively prime positive integers. Find a + b . b

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