MathDB
angle bisector construction - 1993 Cono Sur Shortlist G3

Source:

October 23, 2021
geometryangle bisectorconstruction

Problem Statement

Justify the following construction of the bisector of an angle with an inaccessible vertex: https://cdn.artofproblemsolving.com/attachments/9/d/be4f7799d58a28cab3b4c515633b0e021c1502.png MaM \in a and NbN \in b are taken, the 44 bisectors of the 44 internal angles formed by MNMN are traced with aa and b b. Said bisectors intersect at PP and QQ, then PQPQ is the bisector sought.