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Уважаемые эксперты! Пожалуйста, ответьте на вопрос: если внутри двугранного угла величины альфа взята точка на расстояниях а и в от граней двугранного угла то ее расстояние от ребра двугранного угла равно корень(а^2+b^2+2ab*cosa)/sina спасибо
Пожалуйста, ответьте на вопрос: если внутри двугранного угла величины альфа взята точка на расстояниях а и в от граней двугранного угла то ее расстояние от ребра двугранного угла равно корень(а^2+b^2+2ab*cosa)/sina спасибо
Рассмотрите, пожалуйста, линейный угол заданного двугранного угла. Обозначьте через вершину линейного угла, через -- проекцию заданной точки на ту сторону линейного угла, расстояние до которой от точки равно и через -- проекцию заданной точки на ту сторону линейного угла, расстояние до которой от точки равно Как Вы думаете, можно ли вписать четырёхугольник в окружность?
Рассмотрите, пожалуйста, линейный угол заданного двугранного угла. Обозначьте через вершину линейного угла, через -- проекцию заданной точки на ту сторону линейного угла, расстояние до которой от точки равно и через -- проекцию заданной точки на ту сторону линейного угла, расстояние до которой от точки равно Как Вы думаете, можно ли вписать четырёхугольник в окружность?
Ответ на этот вопрос положительный (подумайте, почему). При этом -- диаметр окружности, описанной около четырёхугольника где -- радиус окружности.
Выполните рисунок, чтобы получить наглядное представление о задаче, обозначьте на этом рисунке центр окружности через и выразите по теореме косинусов через и через Приравняв друг к другу полученные выражения, Вы получите формулу, о которой сказано в задании.
Об авторе:
Facta loquuntur.
Форма ответа
Отправка постов/ответов доступна только зарегистрированным и подтвержденным пользователям.
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вершину линейного угла, через 
-- проекцию заданной точки 
на ту сторону линейного угла, расстояние до которой от точки 
и через 
-- проекцию заданной точки 
Как Вы думаете, можно ли вписать четырёхугольник 
в окружность?
Гордиенко Андрей Владимирович 
-- диаметр окружности, описанной около четырёхугольника 
где 
-- радиус окружности.
и выразите 
по теореме косинусов через 
и через 
Приравняв друг к другу полученные выражения, Вы получите формулу, о которой сказано в задании.