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Консультация № 190714
16.03.2017, 17:15
0.00 руб.
0
5
1
Здравствуйте! Прошу помощи в следующем вопросе:
В треугольнике ABC угол A равен 20º, угол B равен 50º, CH - высота треугольника ABC, HE - биссектриса треугольника AHC. Найдите градусную меру угла BEH. В ответ запишите только число.
В треугольнике ABC угол A равен 20º, угол B равен 50º, CH - высота треугольника ABC, HE - биссектриса треугольника AHC. Найдите градусную меру угла BEH. В ответ запишите только число.
Обсуждение
18.03.2017, 08:18
общий
это ответ
Здравствуйте, svrvsvrv!
Проведём отрезок
параллельно отрезку 
до пересечения с отрезком 
Обозначим через 
точку пересечения отрезков и 
Отрезок
- биссектриса прямого угла треугольника 
Поэтому 
При этом 
в треугольнике
положим 
Тогда
Из выражений
получим 
то есть 
Я думаю, что данное решение задачи не то, на которое рассчитывали авторы задачи. Но другого решения у меня нет и заниматься его поиском я не стану. Попробуйте сделать это сами.
Проведём отрезок
параллельно отрезку до пересечения с отрезком Обозначим через точку пересечения отрезков и Отрезок
- биссектриса прямого угла треугольника Поэтому При этом в треугольнике
положим ТогдаИз выражений
получим то есть Я думаю, что данное решение задачи не то, на которое рассчитывали авторы задачи. Но другого решения у меня нет и заниматься его поиском я не стану. Попробуйте сделать это сами.
5
Спасибо.
Об авторе:
Facta loquuntur.
Facta loquuntur.
18.03.2017, 10:29
общий
Спасибо Вам. Почему Вы думаете, что авторы задачи рассчитывали на другое решение?
18.03.2017, 11:03
общий
Адресаты:
svrvsvrv Спасибо Вам. Почему Вы думаете, что авторы задачи рассчитывали на другое решение?
Потому что "слишком много" тригонометрических формул я использовал. А тригонометрию в школе изучают после планиметрии.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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