В прямоугольном треугольнике АВС угол А равен 300. Из прямого угла С проведена высота СН. Найдите длины отрезков, на которые точка Н делит гипотенузу этого треугольника, если ВС = 18см

В прямоугольном треугольнике АВС угол А равен 300. Из прямого угла С проведена высота СН. Найдите длины отрезков, на которые точка Н делит гипотенузу этого треугольника, если ВС = 18см
- Предмет:
  Геометрия
- Автор:
  godofredo
- 5 лет назад

Ответы 1

Дано: ΔАВС - прямоугольный, ∠С=90°, ∠А=30°, СН - высота, ВС=18 см.Найти АН и ВН.АВ=2ВС=36 см по свойству катета, лежащего против угла 30°.Рассмотрим ΔВСН - прямоугольный, ∠В=60°, ∠ВСН=30°, значит, ВН=(1\2)ВС=9 см.АН=36-9=27 см.Ответ: 9 см и 27 см.
- Автор:
  rafael48
- 5 лет назад
- 0
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