Chapter 9.1, Problem 12WE

To determine

Draw a circle with centre O and radius 12.Then draw radii $\overline{OA}$ and $\overline{OB}$ to form an angle with $m\angle AOB=90$ . Find the length of $\overline{AB}$ .

Answer to Problem 12WE

  $AB=12\sqrt{2}$

Explanation of Solution

Given:

  

Calculation:

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

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