MathDB

Geometry (Classic)

Source:

January 31, 2016

geometrycircumcircle

Problem Statement

Let an acute-angled triangle

ABC

's circumcircle is

S

.

S

's tangent from

B

and

C

intersects at point

M

. A line, lies

M

and parallel to

[AB]

intersects with

S

at points

D

and

E

, intersect with

[AC]

at point

F

. Prove that

[DF]=[FE]

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