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YGO 2024, 10-11 класи, Задача 4.

Нехай 𝐼 та 𝑀 — інцентр та точка перетину медіан нерівнобедреного трикутника 𝐴𝐵𝐶. Пряма, яка проходить через точку 𝐼 паралельно до 𝐵𝐶, перетинає 𝐴𝐶 та 𝐴𝐵 у точках 𝐸 та 𝐹 відповідно. Відновіть трикутник 𝐴𝐵𝐶, якщо дано лише точки 𝐸, 𝐹, 𝐼 та 𝑀.

Григорій Філіпповський



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YGO 2024, 10-11 класи, Задача 4.

Нехай 𝐼 та 𝑀 — інцентр та точка перетину медіан нерівнобедреного трикутника 𝐴𝐵𝐶. Пряма, яка проходить через точку 𝐼 паралельно до 𝐵𝐶, перетинає 𝐴𝐶 та 𝐴𝐵 у точках 𝐸 та 𝐹 відповідно. Відновіть трикутник 𝐴𝐵𝐶, якщо дано лише точки 𝐸, 𝐹, 𝐼 та 𝑀.

Григорій Філіпповський

BY Geometry Ukraine




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