Предмет: Геометрия, автор: олька2407988

в треугольнике ABC угол С=90 градусов,AB=3,sinA=корень из 5 деленое на 3. найдите AC

Ответы

Автор ответа: Lacerta

по определению синуса:
sinA=CB/AB ⇒ CB=sinA*AB = √5/3 * 3=√5
По теореме Пифагора:
AC²=AB²-CB²
AC=√(3²-5) =√(9-5) =√4=2
Ответ: 2

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