Question

if a point c lies between a and b such that ac is perpendicular to ab.

Answer 1

AC = BC

add AC on both sides

AC + AC = BC + AC........C lies between two points A and B

2AC = ABAC =1/2 AB

Answer 2

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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