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б - 8, ребро а б - ц, угол а д б - 60 градусов.","Используя теорему косинусов, находим ребро а б: 49 = (а б)² - (а д)² - 2 * а д * а б * cos(60°).","Из вершины б проводим высоту к ребру ад, обозначаем ее аш.","Используя формулу для вычисления площади треугольника, находим площадь грани а б д: 10 * √3."]},"endTime":219,"title":"Решение задачи","beginTime":50},{"list":{"type":"unordered","items":["В задаче через серединный ребер а, б и а ц проведена плоскость, параллельная ребру ад.","Доказываем, что эта плоскость пересекает грани а б д и а ц д по параллельным прямым.","Рассматриваем грани а ц д и а б д, где прямые а и б принадлежат этим граням и не пересекаются.","Следовательно, прямые а и б параллельны.","Аналогично рассматриваем грань а б д, где прямая а принадлежит этой грани и прямая ад принадлежит этой грани.","Эти прямые также не пересекаются, следовательно, они параллельны.","Таким образом, прямые а и б параллельны, а значит, и параллельны между 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