Задача. Боковые стороны трапеции 𝐴𝐵 и 𝐶𝐷 пересекаются в точке 𝑃, а её диагонали в точке 𝑄. Известно, что описанная окружность треугольника 𝑃𝐵𝐶 касается средней линии трапеции. Биссектриса угла 𝑃 пересекает 𝐴𝐷 в точке 𝐾. Докажите, что 𝐾𝑄 ⊥ 𝐴𝐷.
Задача. Боковые стороны трапеции 𝐴𝐵 и 𝐶𝐷 пересекаются в точке 𝑃, а её диагонали в точке 𝑄. Известно, что описанная окружность треугольника 𝑃𝐵𝐶 касается средней линии трапеции. Биссектриса угла 𝑃 пересекает 𝐴𝐷 в точке 𝐾. Докажите, что 𝐾𝑄 ⊥ 𝐴𝐷.
Although some channels have been removed, the curation process is considered opaque and insufficient by analysts. Two days after Russia invaded Ukraine, an account on the Telegram messaging platform posing as President Volodymyr Zelenskiy urged his armed forces to surrender. However, the perpetrators of such frauds are now adopting new methods and technologies to defraud the investors. 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. The S&P 500 fell 1.3% to 4,204.36, and the Dow Jones Industrial Average was down 0.7% to 32,943.33. The Dow posted a fifth straight weekly loss — its longest losing streak since 2019. The Nasdaq Composite tumbled 2.2% to 12,843.81. Though all three indexes opened in the green, stocks took a turn after a new report showed U.S. consumer sentiment deteriorated more than expected in early March as consumers' inflation expectations soared to the highest since 1981.
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