Question

if point C lies between two points A and B such that AC is equals to BC prove that AC is equals to half of AB

Answer 1

Given: A point C lies between two points A and B.
AC = CB
To prove: AC=1/2AB
Proof: Point C lies between two points A and B (given).
                     So, AC+ BC = AB.
⇒AC+AC=AB..............   [AC=BC]⇒2AC = AB⇒AC =1/2AB
Hence proved.

Answer 2

ATQ. AC=BC
AND WE KNOW AC + BC = AB
SO AC + AC = AB
2AC = AB
AC = AB/2