MathDB

2012.2

Part of Ukrainian TYM Qualifying - geometry

Problems(1)

triangle construction, AB + AC = 2BC, feet of angle bisectors

Source: 2012 XV All-Ukrainian Tournament of Young Mathematicians named after M. Y. Yadrenko, Qualifying p2

5/11/2021
The triangle ABCABC is drawn on the board such that AB+AC=2BCAB + AC = 2BC. The bisectors AL1,BL2,CL3AL_1, BL_2, CL_3 were drawn in this triangle, after which everything except the points L1,L2,L3L_1, L_2, L_3 was erased. Use a compass and a ruler to reconstruct triangle ABCABC.
geometryconstructionangle bisectorUkrainian TYM