Предмет: Геометрия, автор: крошкакартошка2

В прямоугольном треугольнике АВС , угол =30°,АС=19см.Найдите угол С и ВС

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Автор ответа: 123Doshikking4517
0
Если треугольник прямоугольный то угол В = 90. Т.к. нужно найти С , то А = 30. АС = 19. Она является гипотенузой в это треугольнике, а по теореме об угле в 30 градусов получаем: ВС = АС/2 = 9.5.

Теперь о угле С. Его мы найдем по теореме косинусов. Угол С = ВС/АС = 0.5 = 1/2 = 60.
 Можно и проще. Т.к. по теореме о сумме углов треугольника, сумма = 180. То угол С = 180 - 90 - 30 = 60.
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