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Indian Mathematical Olympiad 1988 - Problem 7

Source:

August 14, 2009
geometryperimetergeometry proposed

Problem Statement

Given an angle QBP \angle QBP and a point L L outside the angle QBP \angle QBP. Draw a straight line through L L meeting BQ BQ in A A and BP BP in C C such that the triangle ABC \triangle ABC has a given perimeter.