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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

Discover and prove a theorem about two lines tangent to a circle at the endpoints of a diameter.

For each exercise draw a circle and inscribe the polygon in the circle.

e. An acute isosceles triangle.

Find the measure of central 鈭�1.

For each exercise draw a circle and inscribe the polygon in the circle.

d. A parallelogram.

Find the radius of the circle inscribed in the triangle.
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