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Консультация № 146235
06.10.2008, 18:51
0.00 руб.
06.10.2008, 19:08
0
2
1
Уважаемые Эксперты,помогите пожалуйста решить задачу:. В равнобедренной трапеции основания равны 3 и 7 см, тупой угол равен 135°. Чему равна высота?
Обсуждение
Неизвестный
06.10.2008, 19:09
общий
это ответ
Здравствуйте, Irokez!
Средняя линия равна полусумме оснований , то есть сумма оснований равна двум боковым сторонам .
Периметр есть сумма всех сторон - сумма двух оснований и двух одинаковых боковых сторон . Можна сказать что периметр равен 4 боковым сторонам , значитбоковая сторона равна 6 м .
Средняя линия равна полусумме оснований , то есть сумма оснований равна двум боковым сторонам .
Периметр есть сумма всех сторон - сумма двух оснований и двух одинаковых боковых сторон . Можна сказать что периметр равен 4 боковым сторонам , значитбоковая сторона равна 6 м .
Неизвестный
06.10.2008, 19:21
общий
пока я писал ответ поменялось задание ...
Проведём из тупого угла высоту , получается , на большее основание , она делит тупой угол трапеции на 2 угла : 90 и 45 градусов . Напомню что сумма углов в треугольнике равна 180 градусов . При большем основании будем иметь равнобедренный прямоугольный треугольник образованый высотой , боковойстороной и частью большего основания , суглами 90 , 45 и 45 градусов . Боовая сторона есть гипотенуза . А высота и часть основания - катеты , равные между собой .
Так как трапеция равнобедренная , то часть большего основания отделённая высотой будет равна
(7-3)/2 = 2 см . Эта часть равна высоте как в равнобедренном треугольнике .
Ответ : Высота равна 2 см .
Проведём из тупого угла высоту , получается , на большее основание , она делит тупой угол трапеции на 2 угла : 90 и 45 градусов . Напомню что сумма углов в треугольнике равна 180 градусов . При большем основании будем иметь равнобедренный прямоугольный треугольник образованый высотой , боковойстороной и частью большего основания , суглами 90 , 45 и 45 градусов . Боовая сторона есть гипотенуза . А высота и часть основания - катеты , равные между собой .
Так как трапеция равнобедренная , то часть большего основания отделённая высотой будет равна
(7-3)/2 = 2 см . Эта часть равна высоте как в равнобедренном треугольнике .
Ответ : Высота равна 2 см .
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