Предмет: Геометрия, автор: LittleMadAlice

Задача: Трикутник ABC і ABK не лежать в одній площині. MN і TS - середні лінії трикутників. Доведіть, що точки MNST лежать в одній площині.

Ответы

Автор ответа: Аноним
7
MN | | AB
TS | | AB  ⇒ MN | | TS  и MN = TS ( т.к. они равны половине АВ)
А это признак того, что  MNTS - параллелограмм ⇒ M,N,T,S лежат в одной плоскости.
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