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В треугольнике DEF известно, что DE=EF=21 си. Серединный перпендикуляр стороны DE пересекает сторону DF в точке K. Найдите DF, если периметр треугольника EKF равен 60 см.
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Предмет:
Геометрия -
Автор:
ireneomunoz - 6 лет назад
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Ответы 1
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По условию EK+EF +KF=60.
EK=DK ((по свойству срединных перпендикуляров)), ⇒DF=DK+KF=EK+KF сделаем замену
EK+EF+KF=(EK+KF)+EF=DF+EF=60см,
отсюда DF=60-EF=60-21=39см
Ответ: DF=39см
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Автор:
rockettevxov - 6 лет назад
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