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Консультация № 187722
27.01.2014, 20:17
79.10 руб.
0
1
1
Здравствуйте! Прошу помощи в следующем вопросе: Из вершины трёхгранного угла, все плоские углы которого прямые, внутри угла проведён отрезок. Проекции этого отрезка на рёбра трёхгранного угла равны 25, 50 и 50 см. Вычислить длину этого отрезка. Заранее благодарен.
Обсуждение
27.01.2014, 22:47
общий
это ответ
Здравствуйте, Тимофеев Алексей Валентинович!
Рёбра трёхгранного угла, все плоские углы которого прямые, образуют ничто иное, как оси ортогональной (декартовой) системы координат. Найти длину отрезка по его проекциям на оси координат декартовой системы не трудно (фактически, это трёхмерный случай теоремы Пифагора):
l=[$8730$](a2+b2+c2)=[$8730$](252+502+502)=25*[$8730$](12+22+22)=25*3=75 см
Рёбра трёхгранного угла, все плоские углы которого прямые, образуют ничто иное, как оси ортогональной (декартовой) системы координат. Найти длину отрезка по его проекциям на оси координат декартовой системы не трудно (фактически, это трёхмерный случай теоремы Пифагора):
l=[$8730$](a2+b2+c2)=[$8730$](252+502+502)=25*[$8730$](12+22+22)=25*3=75 см
5
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