Question

If a point C lies between two points A and B such that AB=BC, then using Euclid's Axiom prove that AC=1/2 AB

Answer 1

Answer:

Step-by-step explanation:

AC=BC

AC+AC= BC+AC

(Equals are added to equals)

2AC=AB

(BC+AC coincided with AB)

AC = 1/2AB

AC=BC= 1/2AB

(Things which are equal to the same point are equal to one another.)

Answer 2

AB=BC

$\\ac = cb \\ \\ ab = ac + cb \\ = ab = 2(ac) \: \: \: \: \: \: \: (ac = ab) \\ = \binom{1} {2} ab = ac$