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Chapter 9: Q14. (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.

c.m鈭�AOB=60掳

Short Answer

Expert verified

AB=12.

Step by step solution

01

Step 1. Given information.    

02

Step 2. Concept used.

Equilateral triangle concept.

03

Step 3. Find value.

Since, from the figure:

AO=OB=12

Then, 鈭�A=鈭�B

Now,

鈭�A+鈭�B+鈭�O=180鈭�2鈭�A+60鈭�=180鈭�鈭�A=60鈭�鈭�B=60鈭�

localid="1648892783706" 螖ABCis a equilateral triangle.

So, all sides are equal:

AO=OB=AB

Therefore, AB=12

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