MathDB

4

Part of 1998 India Regional Mathematical Olympiad

Problems(1)

An eq triangle

Source: Indian RMO 1998 Problem 4

10/26/2005
Let ABCABC be a triangle with AB=ACAB = AC and ∠BAC=30∘\angle BAC = 30^{\circ}, Let A′A' be the reflection of AA in the line BCBC; B′B' be the reflection of BB in the line CACA; C′C' be the reflection of CC in line ABAB, Show that A′B′C′A'B'C' is an equilateral triangle.
geometrygeometric transformationreflection