Question

In a figure if if point C lies between A and B then prove that AB is greater than AC which euclid's axiom is applied?

Answer 1

Answer:

Euclid's 5th axiom: "the whole is greater than the part" can be applied to prove this

A--------------------c-------------------------B

Here is a diagramatic representation of the probelm.

Hope this helps :)

Answer 2

Answer:

AB is greater than AC by fifth Euclid's axiom

Step-by-step explanation:

Given that point c lies between A and B we have to prove that AB is greater than AC.

As, C lies between A and B.

⇒ AB=AC+CB

⇒ AC and AB are the part of line AB they sum up to give the whole line AB.

Euclid fifth axiom states that "The whole is greater than the part"

Hence, AB is greater than AC by fifth Euclid's axiom.