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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 9: Q1. (page 337)

Find $A B .$ In Exercise $3,$ $\bar{C B}$ is tangent to $⊙ A .$

Short Answer

Expert verified

The length of, $A B = 15$ .

Step by step solution

01

Step 1. Given information.

The given figure is as follows,

02

Step 2. Formula used.

$\tan θ = \frac{Opposite side}{Adjacent side}$

03

Step 3. Put the data from the given figure.

$\begin{array}{l} \tan θ = \frac{Oppositeside}{Adjacentside} \\ \tan 30 ° = \frac{A C}{A B} \\ \frac{1}{\sqrt{3}} = \frac{5 \sqrt{3}}{A B} \\ A B = 5 (3) \\ = 15 \end{array}$

Therefore, the value of, $A B = 15$ .

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Most popular questions from this chapter

Why $\bar{T K}$ is not a chord of $⊙ o$ .

In exercises $2 - 7$ find the measure of the arc.

$\overset{⏜}{B A D}$

Find the measure of central $∠ 1 .$

a. Draw a circle. Place points A,B, and C on it in such positions that

\ $[m \overset{⏜}{A B} + m \overset{⏜}{B C} \]$ does not equal

b. Does your example in part (a) contradict Postulate $16$ ?

Use a compass to draw a large $⊙ o .$ Draw a central $∠ A O B .$ .

a. draw three other points $P, Q$ and $R$ that are on $⊙ o$ but not on $\overset{⏜}{A B}$ .

then draw $∠ A P B, ∠ A Q B$ and $∠ A R B$ .

b. Use a protractor to find $m ∠ A O B, m ∠ A P B, m ∠ A Q B$ and $m ∠ A R B$ .

c. What is the relationship between $m ∠ A P B, m ∠ A Q B$ and $m ∠ A R B ?$

What is the relationship between $m ∠ A O B$ and $m ∠ A P B ?$

See all solutions

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