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Консультация № 143394
08.09.2008, 19:02
0.00 руб.
0
1
1
3. Найти диагональ прямоугольника, если периметр его равен 34 см, а периметр одного из треугольников, на которые диагональ разделила прямоугольник, равен 30 см.
Обсуждение
Неизвестный
08.09.2008, 19:39
общий
это ответ
Здравствуйте, Бортников Артём Михайлович!
Пусть ABCD - прямоугольник.
Пусть a,b -стороны прямоугольника (a=AB, a=CD, b=DC, b=AD). А с- диагональ(c=AC=BD). Так как периметр прямоугольника равен 34, следовательно 2*a+2*b=34.
Периметр треугольника равен 30, следовательно a+b+c=30.
Получаем следующую систему уравнений.
2*a+2*b=34****a+b=17*****
a+b+c=30******a+b=30-c****17=30-c****c=13
Ответ диагональ с =13.
Пусть ABCD - прямоугольник.
Пусть a,b -стороны прямоугольника (a=AB, a=CD, b=DC, b=AD). А с- диагональ(c=AC=BD). Так как периметр прямоугольника равен 34, следовательно 2*a+2*b=34.
Периметр треугольника равен 30, следовательно a+b+c=30.
Получаем следующую систему уравнений.
2*a+2*b=34****a+b=17*****
a+b+c=30******a+b=30-c****17=30-c****c=13
Ответ диагональ с =13.
Форма ответа
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