IN RECTANGLE ABCD ,AB=25CM, BC=15CM. IN WHAT RATIO DOES BISECTOR OF ANGLE C DIVIDES AB?

Question

IN RECTANGLE ABCD ,AB=25CM, BC=15CM. IN WHAT RATIO DOES BISECTOR OF ANGLE C  DIVIDES AB?

Reiny · Answer

Of course the bisector of angle C is 45° let the bisector hit AB at P in triangle BCP tan 45 = BP/15 BP = 15tan45 = 15 continue