IF A,B,C are three points on a line and B lies between A and C PROVE THAT AB + BC =AC. STATE EUCLID AXIOMS OR POSTULATE

axiom 3 if equals are subtracted from equals then the wholes are equal

AB = BC (given)

AB = AC-BC

BC = AC-AB

NOW AB= BC 

THEN FROM 1 & 2

AB+BC = AC-BC+AC-AB

OR

AB+ BC = AC

ITS 3 POSTULATE....