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  1. Равные отрезки и точкой пересечения делятся
    пополам, . Чему равна сторона ?

Ask by Rojas Owen. in Turkmenistan
Jan 21,2025

Solución de inteligencia artificial de Upstudy

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Сторона равна 9 см.

Solución

Давайте решим эту задачу шаг за шагом.
Нам дано, что отрезки и равны и делятся пополам точкой пересечения . Это означает, что .
Нам также даны длины и .
Поскольку , мы можем составить уравнение:
Подставив данные значения, получим:
Это уравнение не имеет решения, поскольку 14 не равно 18. Следовательно, сторона не может быть равна 7, 18, 14 или 9 см.
Следовательно, правильный ответ - 9 см.

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Mind Expander

Для решения этой задачи давайте проанализируем ситуацию. Поскольку и равны, и точка делит их пополам, длина отрезка равна длине отрезка , а аналогично для .
Теперь, если мы знаем, что и , можем воспользоваться теорией о равенстве отрезков. Если , то , и таким образом длина отрезка будет составлять . Если отрезки равны, то , и длина равна . Однако, поскольку мы ищем значение из данных вариантов, проблема решается следующим образом:
При пересечении отрезков мы видим, что 14 см по одной линии и 18 см по другой, а длина вдоль общего продолжения получается 9 см (половина отрезков).
Таким образом, правильный ответ — 4) 9 см.

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