Chapter 9: Q12. (page 331)

For each exercise draw $⊙ O$ with radius $12$ . Then draw radii $\bar{O A}$ and to $\bar{O B}$ form an angle with the measure named. Find the length of $\bar{A B}$ .
a. $m ∠ A O B = 90 °$

Short Answer

Expert verified

$A B = 12 \sqrt{2}$ .

Step by step solution

Step 1. Given information.

Step 2. Concept used.

We use Pythagoras Theorem.

Step 3. Find value.

In the right triangle $A O B$ , $A B$ is the hypotenuse. Use Pythagoras Theorem to find length of $\bar{A B}$ .

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

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

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For each exercise draw $⊙ O$ with radius $12$ . Then draw radii $\bar{O A}$ and to $\bar{O B}$ form an angle with the measure named. Find the length of $\bar{A B}$ .
a. $m ∠ A O B = 90 °$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Find value.

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For each exercise draw ⊙O with radius 12. Then draw radii OA¯ and to OB¯ form an angle with the measure named. Find the length of AB¯.a. m∠AOB=90°

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Find value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Decision Maths

Logic and Functions

Pure Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

For each exercise draw $⊙ O$ with radius $12$ . Then draw radii $\bar{O A}$ and to $\bar{O B}$ form an angle with the measure named. Find the length of $\bar{A B}$ .
a. $m ∠ A O B = 90 °$