Question

$AB$ is a line segment of length $14cm$. $CD$ is perpendicular bisector of $AB$. Find length of $AO$ and $OB$.

• A. $7cm$ and $6cm$
• B. $4cm$ and $6cm$
• C. $7cm$ and $7cm$
• D. None of these

Answer 1

The correct option is C $7cm$ and $7cm$

A perpendicular bisector bisects the line into equal lengths.

$\therefore AB=AD+DB$

$OB=AO=\frac{1}{2}AB$

$OB=AO=\frac{1}{2}\times 14=7$cm.