В треугольнике ABC I - центр вписанной окружности, а X и Y - точки касания вписанной окружности со сторонами AC и AB. N - середина дуги BAC, а Z - точка пересечения (CXN) и (BYN), отличная от N. Доказать, что угол ZMI прямой, где M - середина BC
В треугольнике ABC I - центр вписанной окружности, а X и Y - точки касания вписанной окружности со сторонами AC и AB. N - середина дуги BAC, а Z - точка пересечения (CXN) и (BYN), отличная от N. Доказать, что угол ZMI прямой, где M - середина BC
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