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Высоты AA' и BB' треугольника ABC пересекаются в точке H. Точки X и Y – середины AB и CH. Доказать, что прямые XY и A'B' перпендикулярны.

// к дню рождения А.А.Заславского — пусть здесь будет такая его задача с ММО/Тургора-2005
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Высоты AA' и BB' треугольника ABC пересекаются в точке H. Точки X и Y – середины AB и CH. Доказать, что прямые XY и A'B' перпендикулярны.

// к дню рождения А.А.Заславского — пусть здесь будет такая его задача с ММО/Тургора-2005

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