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YGO 2024, 8 клас, Задача 5.

На стороні 𝐴𝐶 трикутника 𝐴𝐵𝐶 відмітили точку 𝑃 так, що 3𝐴𝑃 = 𝐴𝐶, а на відрізку 𝐵𝑃 точку 𝑆 так, що 𝐶𝑆 ⟂ 𝐵𝑃. Точка 𝑇 є такою, що 𝐵𝐶𝑆𝑇 паралелограм. Доведіть, що 𝐴𝐵 = 𝐴𝑇.

Богдан Желябовський



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YGO 2024, 8 клас, Задача 5.

На стороні 𝐴𝐶 трикутника 𝐴𝐵𝐶 відмітили точку 𝑃 так, що 3𝐴𝑃 = 𝐴𝐶, а на відрізку 𝐵𝑃 точку 𝑆 так, що 𝐶𝑆 ⟂ 𝐵𝑃. Точка 𝑇 є такою, що 𝐵𝐶𝑆𝑇 паралелограм. Доведіть, що 𝐴𝐵 = 𝐴𝑇.

Богдан Желябовський

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