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В параллелограмме MNKL отметили точку С - середину стороны NK.Отрезки LC и MK пересекаются в точке D. Найдите длину отрезка DM, если известно, что МК = 36
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Предмет:
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Автор:
veronicaljdr - 5 лет назад
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Ответы 1
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Треугольники МДЛ и СДК подобны, так как ∠МДЛ=∠СДК как вертикальные, ∠ДМЛ=∠ДКС (потому-что НК║МЛ и МК - секущая).Коэффициент подобия этих тр-ков: k=СК:МЛ=1:2, значит МД=2ДК, следовательно МД=МК·(2/3)=36·2/3=24 - это ответ.
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Автор:
amberlopez - 5 лет назад
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