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. $m\angle AOB=90°$

Short answer

$AB=12\sqrt{2}$.

Step-by-step solution

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 $AB=12\sqrt{2}$.