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Prove that this angle is right

Source: South African MO 1995 Q2

May 27, 2012

geometrycircumcirclegeometry unsolved

Problem Statement

ABC

is a triangle with

\hat{A}<\hat{C}

, and

D

is the point on

E

such that

B\hat{A}D=A\hat{C}B

. The perpendicular bisectors of

AD

and

AC

intersect in the point

E

. Prove that

B\hat{A}E=90^\circ

.

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