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triangle connstruction, 3 rays with common origin

Source: IV Soros Olympiad 1997-98 R2 10.5 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics

June 1, 2024
geometryconstruction

Problem Statement

Three rays with a common origin are drawn on the plane, dividing the plane into three angles. One point is marked inside each corner. Using one ruler, construct a triangle whose vertices lie on the given rays and whose sides contain the given points.