Задача. В равнобедренном треугольнике 𝐴𝐵𝐶 (𝐴𝐵 = 𝐴𝐶 < 𝐵𝐶) на сторонах 𝐵𝐶 и 𝐴𝐵 отмечены точки 𝑃 и 𝑄 соответственно так, что 𝑃𝑄 перпендикулярно 𝐴𝐵 и 𝑃𝑄 делит периметр треугольника пополам. Докажите, что 𝐴𝐵 = 𝐵𝑃.
Задача. В равнобедренном треугольнике 𝐴𝐵𝐶 (𝐴𝐵 = 𝐴𝐶 < 𝐵𝐶) на сторонах 𝐵𝐶 и 𝐴𝐵 отмечены точки 𝑃 и 𝑄 соответственно так, что 𝑃𝑄 перпендикулярно 𝐴𝐵 и 𝑃𝑄 делит периметр треугольника пополам. Докажите, что 𝐴𝐵 = 𝐵𝑃.
'Wild West' Stocks closed in the red Friday as investors weighed upbeat remarks from Russian President Vladimir Putin about diplomatic discussions with Ukraine against a weaker-than-expected print on U.S. consumer sentiment. Oleksandra Matviichuk, a Kyiv-based lawyer and head of the Center for Civil Liberties, called Durov’s position "very weak," and urged concrete improvements. At this point, however, Durov had already been working on Telegram with his brother, and further planned a mobile-first social network with an explicit focus on anti-censorship. Later in April, he told TechCrunch that he had left Russia and had “no plans to go back,” saying that the nation was currently “incompatible with internet business at the moment.” He added later that he was looking for a country that matched his libertarian ideals to base his next startup. Telegram has become more interventionist over time, and has steadily increased its efforts to shut down these accounts. But this has also meant that the company has also engaged with lawmakers more generally, although it maintains that it doesn’t do so willingly. For instance, in September 2021, Telegram reportedly blocked a chat bot in support of (Putin critic) Alexei Navalny during Russia’s most recent parliamentary elections. Pavel Durov was quoted at the time saying that the company was obliged to follow a “legitimate” law of the land. He added that as Apple and Google both follow the law, to violate it would give both platforms a reason to boot the messenger from its stores.
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