Question

In triangle ABC , angle A =60 , angle C=40 and the bisector of angle ABC meets side AC at point P.Show that BP=CP

Answer 1

Answer:

acb = 40

bac = 60

.•. ABC = 80

BP bisects ABC

.•.pcb = 40

ACB = PCB =40...........proved

BP=CP ...,................converse of isoceles

∆ theorem