In a right triangle ABC, the measure
of angles B and C are 30 and 60 degrees, respectively. If AD and
BE are the bisectors of angles A and B, respectively, prove that
AD = BE / 2.
This entry contributed by Mr Petre Ciobanu, Math Teacher from Sibiu, Romania. Reference: Gazeta Matematica-seria B, No. 6-7-8/2013,
page 358, listed as problem E:14530, author Mr. Marin Simion.