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#геометрия #задача

В остроугольном треугольнике ABC отметили центр описанной окружности O и ортоцентр H. Перпендикуляр из H на AO пересекает BC в точке X. Перпендикуляр в X к BC вместе с прямыми AB и AC ограничивает треугольник Δ. Точка S — центр описанной окружности треугольника Δ. Докажите, что SX касается окружности (ABC).



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#геометрия #задача

В остроугольном треугольнике ABC отметили центр описанной окружности O и ортоцентр H. Перпендикуляр из H на AO пересекает BC в точке X. Перпендикуляр в X к BC вместе с прямыми AB и AC ограничивает треугольник Δ. Точка S — центр описанной окружности треугольника Δ. Докажите, что SX касается окружности (ABC).

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