Предмет: Геометрия, автор: dianasmirnova832

У рівнобедреному трикутнику вписане коло. Знайти сторони трикутника, якщо його периметр дорівнює 48 см, а точка дотику відтинає на бічній стороні відрізок 12 см, рахуючи від вершини

Ответы

Автор ответа: Пеппер

Ответ:

18 см. 18 см 12 см

Объяснение:

Дано: ΔАВС, АВ=ВС, ВК=ВТ=12 см. АВ, ВС, АС - ?

ВК=ВТ=12 см за теоремою про дотичні до кола, проведені з однієї точки.

АК=АМ=СМ=СТ=(48-12-12):4=24:4=6 см.

АВ=ВС=12+6=18 см; АС=6+6=12 см

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