Предмет: Геометрия, автор: Аноним

Дан треугольник АВС
ВА=4
ВС=6 корней из 3
Угол В=30 градусов
Найти АС
С РЕШЕНИЕМ ПОЖАЛУЙСТА

Ответы

Автор ответа: Dимасuk

0

Используем теорему косинусов:
Квадрат стороны треугольника равен сумме квадратов двух других сторон минус их удвоенное произведение на косинус угла между ними.
АС² = AB² + BC² - 2AB•BC•cosB
AC² = 16 + 108 - 2•4•6√3•√3/2 = 124 - 72 = 52
AC = √52 = 2√13.
Ответ: 2√13.

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