Предмет: Геометрия, автор: stjsha

Из точки В к окружности с центром О проведена касательная,D-точка касания. Найдите радиус окружности, если BO=46, а BD=23корней из 3. Спасибо)))

Ответы

Автор ответа: komandor

Радиус, проведенный в точку касания, перпендикулярен касательной, значит треугольник ВДО (ДО - радиус) прямоугольный, угол Д прямой.
По теореме пифагора:
ДО = √(2116 - 1587) = √529 = 23
Ответ: 23

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