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antonbolonin
@antonbolonin
July 2022
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в треугольнике CDF проведины медианы CA,DB,FN. AF=6см,BC=8см,DN=4см. Найдите периметр треугольника FCD.
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Dимасuk
Verified answer
Раз АС, DB и FN - медианы, то ND = NC = 4 см, BC = BF = 8 см, AF = AD = 6 см.
Но CN + ND = CD, CB + BF = CF, DF = AD + AF.
Тогда PFCD = 2CB + 2ND + 2AF = 2(CB + ND + AF) = 2•(4 + 6 + 8)см = 36 см.
Ответ: 36 см.
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Verified answer
Раз АС, DB и FN - медианы, то ND = NC = 4 см, BC = BF = 8 см, AF = AD = 6 см.Но CN + ND = CD, CB + BF = CF, DF = AD + AF.
Тогда PFCD = 2CB + 2ND + 2AF = 2(CB + ND + AF) = 2•(4 + 6 + 8)см = 36 см.
Ответ: 36 см.