Question

ABCD=paralelogram
AC intersectat cu BD PRIN O
N aparține lui BC
BC=3xBN
AN intersectat cu BO prin M
Demonstrati:AM=3xMN

Answer 1

AD II BC⇒ΔAMD asemenea ΔMNB⇒MN/AM=BN/AD , dar AD=BC⇒
MN/AM=BN/BC⇒MN/AM=BN/3BN⇒MN/AM=1/3⇒AM=3MN