Предмет: Геометрия, автор: FarHD

Поможите с ним | к окружности с центром в точке о проведена касательная ab (точка a - точка касания). Изветно, что угол ABO равен 60*, если длина отрезка OB равна 16см. Найдите длину отрезка AB

Ответы

Автор ответа: ssoxo

Получился прямоугольный тр-ник АВО с прямым углом А.
∠АВО=60°, значит ∠АОВ=30°.
Катет АВ лежит напротив угла в 30°, значит он в два раза меньше гипотенузы.
АВ=ОВ/2=16/1=8 см - это ответ.

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