MathDB

11

Part of 2017 Latvia Baltic Way TST

Problems(1)

perimeter of PBC <= perimeter of ABC, PL=AL on angle bisector AL

Source: 2017 Latvia BW TST P11

12/16/2022
On the extension of the angle bisector ALAL of the triangle ABCABC, a point PP is placed such that PL=ALP L = AL. Prove that the perimeter of triangle PBCPBC does not exceed the perimeter of triangle ABCABC.
geometryperimeterangle bisectorgeometric inequality