Q12. - Geometry

Question

For each exercise draw $\odot O$ with radius $12$. Then draw radii $\overline{OA}$ and to $\overline{OB}$ form an angle with the measure named. Find the length of $\overline{AB}$.

 a. $m\angle AOB=90°$

Step-by-Step Solution

Answer

$AB=12\sqrt{2}$.

Step 1. Given information.

Step 2. Concept used.

We use Pythagoras Theorem.

Step 3. Find value.

In the right triangle $AOB$,  $AB$ is the hypotenuse. Use Pythagoras Theorem to find length of $\overline{AB}$.

 $\begin{array}{l}AB=\sqrt{{12}^2+{12}^2}\\ AB=12\sqrt{2}\end{array}$

Therefore, this length of $AB=12\sqrt{2}$.