MathDB

computational with segments by angle bisectors in terms of sidelengths

Source: Finland 2018, p2

September 8, 2019

angle bisectorsidelengthsgeometry

Problem Statement

The sides of triangle

ABC

are

a = | BC |, b = | CA |

and

c = | AB |

. Points

D, E

and

F

are the points on the sides

BC, CA

and

AB

such that

AD, BE

and

CF

are the angle bisectors of the triangle

ABC

. Determine the lengths of the segments

AD, BE

, and

CF

in terms of

a, b

, and

c