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triangle construction given intersections of 2 alt. and bisector w. circumcircle

Source: Sharygin 2007 Final 10.1

April 30, 2019
geometryconstructionaltitudesangle bisectorcircumcircle

Problem Statement

In an acute triangle ABCABC, altitudes at vertices AA and BB and bisector line at angle CC intersect the circumcircle again at points A1,B1A_1, B_1 and C0C_0. Using the straightedge and compass, reconstruct the triangle by points A1,B1A_1, B_1 and C0C_0.
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