Question

question 7 of 10
if the blue radius below is perpendicular to the chord $overline{ac}$, which is 14 units long, what is the length of the segment $overline{ab}$?
a. 3.5 units
b. 28 units
c. 14 units
d. 7 units

Explanation:

Step1: Apply chord - radius property

A radius perpendicular to a chord bisects the chord.

Step2: Calculate length of $\overline{AB}$

Since $\overline{AC}=14$ units and the radius bisects $\overline{AC}$, then $\overline{AB}=\frac{\overline{AC}}{2}$. So $\overline{AB}=\frac{14}{2}=7$ units.

Answer:

D. 7 units