Предмет: Геометрия, автор: shultsliza

В равнобедренном треугольнике АВС с основанием АС биссектрисы углов А и С пересекаются в точке О. Докажите, что треугольник АОС - равнобедренный.
Если можно то по действиям пожалуйста, зарание спасибо) 

Ответы

Автор ответа: litvinov16198
0
А и С углы при основании. А у равнобедренного треугольника углы при основании равны. Биссектриссы этих углов делят их пополам, значит угол ОАС равен углу ОСА. Значит треугольник равнобедренный т.к. у равнобедренного треугольника углы при основании равны. Что и требовалось доказать.
Автор ответа: shultsliza
0
спасибо)
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