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Bosnia and Herzegovina TST 2003 Day 1 Problem 2

Source: Bosnia and Herzegovina Team Selection Test 2003

September 18, 2018

geometrySquaresconcurrent

Problem Statement

Upon sides

AB

and

BC

of triangle

ABC

are constructed squares

ABB_{1}A_{1}

and

BCC_{1}B_{2}

. Prove that lines

AC_{1}

CA_{1}

and altitude from

B

to side

AC

are concurrent.