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Консультация № 136837
14.05.2008, 20:00
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Добрый день не могли бы вы мне помочь.
Площадь прямоугольного треугольника равна 2V3. Определить его высоту проведенную к гипотенузе если она делит прямой угол в отношении 1:2.
Приложение:
V-квадратный корень
Площадь прямоугольного треугольника равна 2V3. Определить его высоту проведенную к гипотенузе если она делит прямой угол в отношении 1:2.
Приложение:
V-квадратный корень
Обсуждение
Неизвестный
14.05.2008, 20:49
общий
это ответ
Здравствуйте, Coolcooler1!
Высота делит угол на части 30 и 60, то есть и углы треугольника 30 и 60. Пусть один катет х, а другой тогда х*tg30 = x/√3. Тогда площадь:
2√3 = 1/2 * х * х/√3
х = 2√3
катеты: 2√3 и 2. Тогда гипотенуза = √(12 + 4) = 4
Тогда площадь:
2√3 = 1/2 * 4 * h
h = √3
Высота делит угол на части 30 и 60, то есть и углы треугольника 30 и 60. Пусть один катет х, а другой тогда х*tg30 = x/√3. Тогда площадь:
2√3 = 1/2 * х * х/√3
х = 2√3
катеты: 2√3 и 2. Тогда гипотенуза = √(12 + 4) = 4
Тогда площадь:
2√3 = 1/2 * 4 * h
h = √3
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