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Chapter 9: Q15. (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.

d. m鈭�AOB=120掳

Short Answer

Expert verified

AB=20.78.

Step by step solution

01

Step 1. Given information.  

02

Step 2. Concept used.

Isosceles triangle concept. We also use sine formula.

03

Step 3. Find value.

Since from the figure,

AO=OBAO=12OB=12鈭�A=鈭�B

In role="math" localid="1648892994173" 螖AOB, a isosceles triangle.

鈭�A+鈭�B+鈭�O=180鈭�2鈭�A+120鈭�=180鈭�鈭�A=30鈭�

So, 鈭�B=30掳

Now, by sine formula:

AOsinB=ABsinO12sin30鈭�=ABsin120鈭�AB=20.78

Therefore, this length of AB=20.78.

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Most popular questions from this chapter

Draw a diagram similar to the one shown, but much larger. Carefully draw the perpendicular bisectors of AB炉 and BC炉.

  1. The perpendicular bisect in a point. Where does that point to be?
  2. Write an argument that justifies your answer to part (a).

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?

Find the number of odd and even vertices in each network. Imagine travelling each network to see if it can be traced without backtracking.

Find AB.In Exercise 3,CB炉 is tangent to 鈯�A.

JK炉 is tangent to 鈯�P and 鈯�Q.

JK=?
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