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В треугольнике ABC I — инцентр, K — середина меньшей дуги BC описанной окружности. На касательной к (ABC) в K выбрана произвольная точка P. Прямая PI вторично пересекает окружность (PBC) в точке Q. Докажите. что треугольник, образованный прямыми PQ, QA, PK равнобедренный.



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#геометрия #задача

В треугольнике ABC I — инцентр, K — середина меньшей дуги BC описанной окружности. На касательной к (ABC) в K выбрана произвольная точка P. Прямая PI вторично пересекает окружность (PBC) в точке Q. Докажите. что треугольник, образованный прямыми PQ, QA, PK равнобедренный.

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