Предмет: Алгебра, автор: faust1111

В окружности проведены 2 взаимно перпендикулярные хорды . Одна из хорд удалена от центра на расстояние 6 ,другая на расстояние 8 . На каком расстоянии от центра окружности находится точка пересечния этих хорд?

Ответы

Автор ответа: LFP

если построить все эти отрезки, то получим прямоугольник...

и расстояние от центра окружности до точки пересечения хорд будет диагональ этого прямоугольника...

по т.Пифагора корень(64+36) = 10 ---искомое расстояние...

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