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Консультация № 194714
16.02.2019, 12:05
0.00 руб.
0
7
1
Здравствуйте! Прошу помощи в следующем задании:
Какой наибольший периметр может иметь равнобедренный
треугольник, вписанный в круг радиуса R?
Какой наибольший периметр может иметь равнобедренный
треугольник, вписанный в круг радиуса R?
Обсуждение
16.02.2019, 12:09
общий
Адресаты:
Вы ведь знаете, что из всех треугольников, вписанных в окружность заданного радиуса, наибольший периметр имеет равносторонний треугольник... 
Об авторе:
Facta loquuntur.
Facta loquuntur.
16.02.2019, 12:13
общий
да я знаю, но основываться на том, что я просто знаю нельзя, нужно получается рассмотреть разные случаи, а во всех остальных у меня ступор.
16.02.2019, 12:17
общий
Адресаты:
Уточните тогда формулировку задачи, потому что непонятно, что нужно сделать: или сначала доказать то, о чём я Вам указал, или, считая, что это уже известно, вычислить искомый периметр.
Об авторе:
Facta loquuntur.
Facta loquuntur.
16.02.2019, 12:20
общий
нужно доказать, что это равносторонний треугольник, после вычислить искомый периметр.
16.02.2019, 13:51
общий
Адресаты:
Вы изучали дифференциальное исчисление? Это нужно знать, чтобы выбрать подходящий способ доказательства.
Об авторе:
Facta loquuntur.
Facta loquuntur.
16.02.2019, 14:26
общий
это ответ
Здравствуйте, alina.poroshina124564!
Доказательство того, что среди всех равнобедренных треугольников, вписанных в данную окружность, наибольшим периметром обладает равносторонний треугольник, имеется, например, здесь (пример 3.6). Тогда по расширенной теореме синусов
где
-- длина стороны равностороннего треугольника.
Доказательство того, что среди всех равнобедренных треугольников, вписанных в данную окружность, наибольшим периметром обладает равносторонний треугольник, имеется, например, здесь (пример 3.6). Тогда по расширенной теореме синусов
где
-- длина стороны равностороннего треугольника.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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