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right triangle construction given A,C (right) and a point on angle bisector <B

Source: Sharygin Final 2007 8.2

April 30, 2019
geometryangle bisectorconstruction

Problem Statement

By straightedge and compass, reconstruct a right triangle ABCABC (C=90o\angle C = 90^o), given the vertices A,CA, C and a point on the bisector of angle BB.