MathDB

2

Part of 2018 Finnish National High School Mathematics Comp

Problems(1)

computational with segments by angle bisectors in terms of sidelengths

Source: Finland 2018, p2

9/8/2019
The sides of triangle ABCABC are a=∣BC∣,b=∣CA∣a = | BC |, b = | CA | and c=∣AB∣c = | AB |. Points D,ED, E and FF are the points on the sides BC,CABC, CA and ABAB such that AD,BEAD, BE and CFCF are the angle bisectors of the triangle ABCABC. Determine the lengths of the segments AD,BEAD, BE, and CFCF in terms of a,ba, b, and cc.
angle bisectorsidelengthsgeometry