Question

Length of $\overline{AB}$ is 20 cm. $\overline{PR}$ is the perpendicular bisector of $\overline{AB}$ and Q is the midpoint of $\overline{AO}$ . Find $\overline{AQ}$ + $\overline{OB}$

• A. 40
• B. 25
• C. 30
• D. 15

Answer 1

The correct option is D 15

Given, PR is the perpendicular bisector of AB.
$⟹$ AO = OB = $\frac{20}{2}$ = 10.
And also, Q is the midpoint of AO.
$⟹$ AQ = QO = $\frac{10}{2}$ = 5.
$\therefore$ $\overline{AQ}$ + $\overline{OB}$ = 10 + 5 = 15 cm.