MathDB

068

Part of 1940 Moscow Mathematical Olympiad

Problems(1)

MMO 068 Moscow MO 1940 triangle construction by 3 points

Source:

7/18/2019
The center of the circle circumscribing △ABC\vartriangle ABC is mirrored through each side of the triangle and three points are obtained: O1,O2,O3O_1, O_2, O_3. Reconstruct △ABC\vartriangle ABC from O1,O2,O3O_1, O_2, O_3 if everything else is erased.
geometryTriangle constructiongeometric constructionCircumcenter