Question

In the given figure, if point C lies between A and B, then prove that AB > AC. Which Euclid’s axiom is applied by you A---------C---------B

Answer 1

by Euclid axiom
part is always smaller than the whole

Answer 2

Answer:

Given that C is the lies between both points A and B

And

AC = BC

Add AC both side we get

AC + AC = BC + AC

2AC = AB

Divide by 2 we get

AC = AB/2

According to definition of Euclid , if equals are added to equals, whole will equal

Here, (BC + AC) coincides with AB. It is known that things which coincide with one another are equal to one another.