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В арямоугольном треугольнике АВС угол А в 2 раза меньше угла А, а гипотенуза АВ равно 16 см. Найдите катет АС.
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Автор:
dominiquespears - 6 лет назад
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сли угол С прямой, то А+В=90, но угол В=2 угла А. А+2А=90.
А=30. ВС - катет прямоугольного треугольника, лежащий проти в уга в 30 градусов.
вс=1/2 АВ
ВС=9
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Автор:
fancy - 6 лет назад
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Пусть угол В=х градусов, тогда угол А=2х градусов.х+2х=903х=90х=30Угол В=30 градусов, значит АС=1\2 АВ (по свойству катета, лежащего против угла 30 градусов), АС=16:2=8 см.Ответ: 8 см.
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Автор:
godivaxejw - 6 лет назад
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