Question

if c point lies between the two point A and B such that AC=BC,the prove that AC=1/2AB explain by figure​

Answer 1

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

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Answer 2

To prove:- AC=1/2AB

Proof:-Using Euclid's axiom saying that when equals are added to equal, the wholes are equal.

i.e. AC+AC=CB+AC

2AC=AB

AC=AB/2

or. AC=1/2AB

Hence, proved

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