Окружности с центрами в точках I{"color":"#202335","fontFamily":"stix","language":"ru"} и J{"color":"#202335","fontFamily":"stix","language":"ru"} пересекаются в точках A{"color":"#202335","fontFamily":"stix","language":"ru"} и B{"color":"#202335","fontFamily":"stix","language":"ru"} , причем точки I{"color":"#202335","fontFamily":"stix","language":"ru"} и J{"color":"#202335","fontFamily":"stix","language":"ru"} лежат по одну сторону от прямой AB{"color":"#202335","fontFamily":"stix","language":"ru"}. Докажите, что прямые AB{"color":"#202335","fontFamily":"stix","language":"ru"} и IJ{"color":"#202335","fontFamily":"stix","language":"ru"} перпендикулярны.