Question

if a point c lies between two points a nad b such that ac=bc,then prove that ac=1/2 ab explain by drawing the figure​

Answer 1

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

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.

2AC = AB

Divide by 2 we get

AC = AB/2

Hence proved