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#геом_разминка

Задача. Пусть 𝐼 — центр вписанной окружности остроугольного треугольника 𝐴𝐵𝐶. Точки 𝑃, 𝑄, 𝑅 выбраны на сторонах 𝐴𝐵, 𝐵𝐶, 𝐶𝐴 соответственно так, что 𝐴𝑃 = 𝐴𝑅 и 𝐵𝑃 = 𝐵𝑄, и ∠𝑃𝐼𝑄 =∠𝐵𝐴𝐶. Докажите, что 𝑄𝑅 ⊥ 𝐴𝐶.

В международный день гор, желаем вам достигнуть новых высот 🪜



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#геом_разминка

Задача. Пусть 𝐼 — центр вписанной окружности остроугольного треугольника 𝐴𝐵𝐶. Точки 𝑃, 𝑄, 𝑅 выбраны на сторонах 𝐴𝐵, 𝐵𝐶, 𝐶𝐴 соответственно так, что 𝐴𝑃 = 𝐴𝑅 и 𝐵𝑃 = 𝐵𝑄, и ∠𝑃𝐼𝑄 =∠𝐵𝐴𝐶. Докажите, что 𝑄𝑅 ⊥ 𝐴𝐶.

В международный день гор, желаем вам достигнуть новых высот 🪜

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Telegram | DID YOU KNOW?

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Some people used the platform to organize ahead of the storming of the U.S. Capitol in January 2021, and last month Senator Mark Warner sent a letter to Durov urging him to curb Russian information operations on Telegram. Sebi said data, emails and other documents are being retrieved from the seized devices and detailed investigation is in progress. Oh no. There’s a certain degree of myth-making around what exactly went on, so take everything that follows lightly. Telegram was originally launched as a side project by the Durov brothers, with Nikolai handling the coding and Pavel as CEO, while both were at VK. 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. Ukrainian forces successfully attacked Russian vehicles in the capital city of Kyiv thanks to a public tip made through the encrypted messaging app Telegram, Ukraine's top law-enforcement agency said on Tuesday.
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