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Консультация № 110168
19.11.2007, 15:45
0.00 руб.
0
1
1
здравствуйте! у меня даны координаты точек А(х1:у1) В(х2:у2) С(х3:у3) Д(х4:у4) с помощью них я могу составить трапецию, а как мне доказать, что она является равнобокой. Пожалуйста пришлите мне только формулы и устное пояснение к ним, но мне обязательно нужны формулы!
Приложение:
нужны формулы
Приложение:
нужны формулы
Обсуждение
Неизвестный
19.11.2007, 16:44
общий
это ответ
Здравствуйте, Князь Владимир!
Сначала надо доказать, что это будет трапеция. Трапеция - это выпуклый четырёхугольник, у которого 2 стороны параллельны, а две другие нет.
У равнобокой трапеции боковые стороны равны. Если боковые стороны AB и CD, то
длина AB равна корень((x2-x1)^2+(y2-y1)^2); CD=корень((x4-x3)^2+(y4-y3)^2). Аналогично, если боковыми сторонами будут BC и AD.
Сначала надо доказать, что это будет трапеция. Трапеция - это выпуклый четырёхугольник, у которого 2 стороны параллельны, а две другие нет.
У равнобокой трапеции боковые стороны равны. Если боковые стороны AB и CD, то
длина AB равна корень((x2-x1)^2+(y2-y1)^2); CD=корень((x4-x3)^2+(y4-y3)^2). Аналогично, если боковыми сторонами будут BC и AD.
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