MathDB

Point

M{}

is the middle of the side side

AB

of the isosceles triangle

ABC

. On the extension of the base

AC

, point

D{}

is marked such that

C{}

is between

A{}

and

D{}

, and point

E{}

is marked on the segment

BM

. The circumcircle of the triangle

CDE

intersects the segment

ME

a second time at point

F

. Prove that it is possible to make a triangle from the segments

AD, DE

and

AF

Problem Statement