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Mathematics

11th Grade

CCSS covered

Used 1+ times

Law of Sines and Ambiguous Case
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13 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In ΔABC, m∡B = 45°, a = 28 and b = 27. Find all possible values for m∡A.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Use the Law of Sines to solve for BC

33

24

12

29

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

3.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Which of the following sets of given information can be solved with the Law of Sines? Select all that apply

Given: side a, angle B, angle C

Given: side b, angle A, angle B

Given: side a, side b, side c

Given: side c, side a, angle B

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

In this SSA - ambiguous case diagram, what happens if the length of side a is smaller than the value of h?

No triangle can be formed.

There will be two possible triangle solutions.

A right triangle will be formed

There will be one triangle formed, but it will not be a right triangle.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

For the SSA - two solution case, what are the values of angles B1 and B2? Given: angle A = 40o, side a = 12, side b = 14

angle B1 = 48.6o, angle B2 = 131.4o

angle B1 = 33.4o, angle B2 = 146.6o

angle B1 = 48.6o, angle B2 = 41.4o

angle B1 = 33.4o, angle B2 = 56.6o

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

True/False: In order to use the Law of Sines, you must know a matching pair of angle & opposite side.

True

False

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

All of the following sets of given information can be solved with the Law of Sines except:

Given: side a, side b, Angle C

Given: side c, side a, angle C

Given: angle A, angle B, side a

Given: angle B, angle C, side a

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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