Предмет: Геометрия, автор: TeNnn

Срочно! Окружность вписанная в треугольник авс касается его сторон в точках м,к,е) вк = 2 см ,кс= 4 см, Ам= 8 см .Найдите периметр треугольника АВС​

Ответы

Автор ответа: kristinaakovleva581
0

Ответ:

Пусть м лежит на стороне АВ, К на стороне ВС, Е на строне АС По свойству касательной, проведённой из точки к окружности ВК=ВМ, АМ=АЕ, СЕ=СК. Ртр=АМ+ВМ+ВК+СК+СЕ+АЕ Учитывая равенство отрезков сделаем замену Ртр=АМ+ВК+ВК+СК+СК+АМ=2АМ+2ВМ+2СК=2(АМ+ВК+СК)=2(8+2+4)=28

Объяснение:

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