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YGO 2024, 8 клас, Задача 1.

Нехай 𝐵𝐸 та 𝐶𝐹 — медіани гострокутного трикутника 𝐴𝐵𝐶. На прямій 𝐵𝐶 обрали точки 𝐾 ≠ 𝐵 та 𝐿 ≠ 𝐶 такі, що 𝐵𝐸 = 𝐸𝐾 та 𝐶𝐹 = 𝐹𝐿. Доведіть, що 𝐴𝐾 = 𝐴𝐿.

Георгій Жилінський



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YGO 2024, 8 клас, Задача 1.

Нехай 𝐵𝐸 та 𝐶𝐹 — медіани гострокутного трикутника 𝐴𝐵𝐶. На прямій 𝐵𝐶 обрали точки 𝐾 ≠ 𝐵 та 𝐿 ≠ 𝐶 такі, що 𝐵𝐸 = 𝐸𝐾 та 𝐶𝐹 = 𝐹𝐿. Доведіть, що 𝐴𝐾 = 𝐴𝐿.

Георгій Жилінський

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