Предмет: Геометрия, автор: alinka242

докажите, что медианы разбивают треугольник на 6 равновеликих треугольников

Ответы

Автор ответа: 0293

Пусть M - точка пересечения медиан АА1, ВВ1, СС1 треугольника АВС.

тогда, S треугольника В1МС = 13 S треугольника В1ВС = 13 * (12 S треугольника АВС) = 16 S треугольника АВС.

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