Question
If a point $C$ lies between two points $A$ and $B$ such that $A C=B C$, then prove that $A C=\frac{1}{2} A B$. Explain by drawing the figure.
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Answer
Given, $AC = BC$
AC + AC = BC + AC ........[ AC are added to both the side ]
2 AC = AB .........[ BC + AC coincides with AB ]
$\therefore AC =\frac{1}{2} AB$
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