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
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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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