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Консультация № 193985
24.11.2018, 08:35
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
В треугольнике АВС, где угол В вдвое больше угла С проведена биссектриса АД. Оказалось, что АД=СД. Найти угол А в градусах с точностью до 1/10 градуса.
В треугольнике АВС, где угол В вдвое больше угла С проведена биссектриса АД. Оказалось, что АД=СД. Найти угол А в градусах с точностью до 1/10 градуса.
Обсуждение
24.11.2018, 08:40
общий
Адресаты:
У Вас есть собственные соображения по решению этой задачи? 
Об авторе:
Facta loquuntur.
Facta loquuntur.
27.11.2018, 08:51
общий
это ответ
Здравствуйте, aptveda66@gmail.com!
Пусть в треугольнике
величина угла 
равна 
тогда величина угла 
равна 
Если в треугольнике
длины сторон 
и 
равны, то этот треугольник равнобедренный; величины углов 
и 
равны одной и той же величине 
Поскольку -- биссектриса угла 
постольку величина угла 
равна 
и в треугольнике
Значит,
Пусть в треугольнике
величина угла равна тогда величина угла равна Если в треугольнике
длины сторон и равны, то этот треугольник равнобедренный; величины углов и равны одной и той же величине Поскольку
-- биссектриса угла постольку величина угла равна и в треугольнике Значит,
Об авторе:
Facta loquuntur.
Facta loquuntur.
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