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Chapter 9: Q12. (page 331)

For each exercise draw 鈯�O with radius 12. Then draw radii OA炉 and to OB炉 form an angle with the measure named. Find the length of AB炉.

a. m鈭�AOB=90掳

Short Answer

Expert verified

AB=122.

Step by step solution

01

Step 1. Given information. 

02

Step 2. Concept used.

We use Pythagoras Theorem.

03

Step 3. Find value.

In the right triangle AOB, ABis the hypotenuse. Use Pythagoras Theorem to find length of AB炉.

AB=122+122AB=122

Therefore, this length of AB=122.

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Most popular questions from this chapter

a. Draw a three large circles and inscribe a different shaped quadrilateral ABCDin each.

b. Use a protractor to measure all the angles.

c. Compute m鈭�A+m鈭�C and m鈭�B+m鈭�D..

d. What is the relationship between opposite angles of an inscribed quadrilateral?

Is there a theorem about spheres related to the theorem in Exercise 12? If so, state the theorem.

a. Given:WZ炉is a diameter of 鈯�o;OX炉鈭�ZY炉

Prove: WX铃�鈮�XY铃�.

(Hint: draw OY铃�.)

JK炉 is tangent to 鈯�P and 鈯�Q.

JK=?

Given: Two tangents circles; EF炉 is a common external tangent;

GH炉 is the common internal tangent.

a. Discover and prove something interesting about point G.

b. Discover and prove something interesting about 鈭�EHF.
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