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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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The regulator said it had received information that messages containing stock tips and other investment advice with respect to selected listed companies are being widely circulated through websites and social media platforms such as Telegram, Facebook, WhatsApp and Instagram. Perpetrators of such fraud use various marketing techniques to attract subscribers on their social media channels. Russian President Vladimir Putin launched Russia's invasion of Ukraine in the early-morning hours of February 24, targeting several key cities with military strikes. Telegram was founded in 2013 by two Russian brothers, Nikolai and Pavel Durov. The regulator said it has been undertaking several campaigns to educate the investors to be vigilant while taking investment decisions based on stock tips.
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