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Задача. Высоты 𝐵𝐵₁ и 𝐶𝐶₁ остроугольного треугольника 𝐴𝐵𝐶 пересекаются в точке 𝐻. Пусть 𝐵₂ и 𝐶₂ — точки на отрезках 𝐵𝐻 и 𝐶𝐻 соответственно такие, что 𝐵𝐵₂ = 𝐵₁𝐻 и 𝐶𝐶₂ = 𝐶₁𝐻. Описанная окружность треугольника 𝐵₂𝐻𝐶₂ пересекает описанную окружность треугольника 𝐴𝐵𝐶 в точках 𝐷 и 𝐸. Докажите, что треугольник 𝐷𝐸𝐻 прямоугольный.
Задача. Высоты 𝐵𝐵₁ и 𝐶𝐶₁ остроугольного треугольника 𝐴𝐵𝐶 пересекаются в точке 𝐻. Пусть 𝐵₂ и 𝐶₂ — точки на отрезках 𝐵𝐻 и 𝐶𝐻 соответственно такие, что 𝐵𝐵₂ = 𝐵₁𝐻 и 𝐶𝐶₂ = 𝐶₁𝐻. Описанная окружность треугольника 𝐵₂𝐻𝐶₂ пересекает описанную окружность треугольника 𝐴𝐵𝐶 в точках 𝐷 и 𝐸. Докажите, что треугольник 𝐷𝐸𝐻 прямоугольный.
Given the pro-privacy stance of the platform, it’s taken as a given that it’ll be used for a number of reasons, not all of them good. And Telegram has been attached to a fair few scandals related to terrorism, sexual exploitation and crime. Back in 2015, Vox described Telegram as “ISIS’ app of choice,” saying that the platform’s real use is the ability to use channels to distribute material to large groups at once. Telegram has acted to remove public channels affiliated with terrorism, but Pavel Durov reiterated that he had no business snooping on private conversations. Lastly, the web previews of t.me links have been given a new look, adding chat backgrounds and design elements from the fully-features Telegram Web client. 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. "Russians are really disconnected from the reality of what happening to their country," Andrey said. "So Telegram has become essential for understanding what's going on to the Russian-speaking world." Telegram boasts 500 million users, who share information individually and in groups in relative security. But Telegram's use as a one-way broadcast channel — which followers can join but not reply to — means content from inauthentic accounts can easily reach large, captive and eager audiences.
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