Предмет: Геометрия, автор: alexakpop

Пряма АВ дотикається до кола з центром О у точці A, кут AOB=60; OB= 12 см.

1) Знайдіть OBA.

2) Знайдіть радіус кола.

Прошу написать полное решение!

Ответы

Автор ответа: LN330068
6

Ответ:

Касательная АВ и радиус ОА взаимно перпендикулярны,поэтому

<ВАО=90 градусов,а

треугольник ВАО прямоугольный

Сумма острых углов прямоугольного треугольника 90 градусов

<ОВА=90-60=30 градусов
2.Катет АО(он же радиус окружности) лежит напротив угла 30 градусов(<ОВА) поэтому катет АО в два раза меньше гипотенузы ОВ

Катет АО=12:2=6 см

Объяснение:

Приложения:
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