MathDB

Geometry with midpoints

Source: St Petersburg Olympiad 2010, Grade 11, P2

September 14, 2017

geometrycircumcircle

Problem Statement

ABC

is triangle with

AB=BC

.

X,Y

are midpoints of

AC

and

AB

.

Z

is base of perpendicular from

B

to

CY

. Prove, that circumcenter of

XYZ

lies on

AC

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