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An eq triangle

Source: Indian RMO 1998 Problem 4

October 26, 2005

geometrygeometric transformationreflection

Problem Statement

Let

ABC

be a triangle with

AB = AC

and

\angle BAC = 30^{\circ}

, Let

A'

be the reflection of

A

in the line

BC

;

A'B'C'

be the reflection of

B

in the line

CA

;

C'

be the reflection of

C

in line

AB

, Show that

A'B'C'

is an equilateral triangle.

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