Law of Sines

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

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

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

In this 2-solution case image, what is true about angles B₁ and B₂?

• They are supplementary angles

• They are congruent angles

• They are complementary angles

• The are alternate interior angles

Tags

CCSS.HSG.CO.C.10

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

How many solutions does the following SSA ambiguous case have?

Given: angle A = 67^o, side a = 17, side b = 20

• 0

• 1

• 2

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

How many solutions does the following SSA ambiguous case have?

Given: angle A = 32^o, side a = 7, side b = 10

• 0

• 1

• 2

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

How many solutions does the following SSA ambiguous case have? (BE CAREFUL - Look at the variables!)

Given: angle C = 108.7^o, side a = 51.2, side c = 54.3

• 0

• 1

• 2

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Given: angle A = 35^o, angle B = 50^o, and side a = 16, what is the value of side c (rounded to the nearest whole number)?

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Given: angle A = 26^o, side a = 24, and side b = 15, what is the measure of angle C to the nearest degree?

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11