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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

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In December 2021, Sebi officials had conducted a search and seizure operation at the premises of certain persons carrying out similar manipulative activities through Telegram channels. These entities are reportedly operating nine Telegram channels with more than five million subscribers to whom they were making recommendations on selected listed scrips. Such recommendations induced the investors to deal in the said scrips, thereby creating artificial volume and price rise. Pavel Durov, Telegram's CEO, is known as "the Russian Mark Zuckerberg," for co-founding VKontakte, which is Russian for "in touch," a Facebook imitator that became the country's most popular social networking site. On December 23rd, 2020, Pavel Durov posted to his channel that the company would need to start generating revenue. In early 2021, he added that any advertising on the platform would not use user data for targeting, and that it would be focused on “large one-to-many channels.” He pledged that ads would be “non-intrusive” and that most users would simply not notice any change. He floated the idea of restricting the use of Telegram in Ukraine and Russia, a suggestion that was met with fierce opposition from users. Shortly after, Durov backed off the idea.
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