Law of Sines Number of Triangles

What makes a triangle ambiguous? given: angle A, side a and side b

• when b is less than a but greater than the height h<b<a

• when a is less than b and less than the height a<b & a<h

• when a is less than b and greater than the height h<a<b

• it is impossible to know

Tags

CCSS.HSG.SRT.C.8

Determine the number of possible triangles that can be drawn with the following dimensions: m<B = 73, a = 7 and b = 5. (hint: find the height)

• 0

• 1

• 2

• 3

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

For which scenario would you need to use the ambiguous case?

• SSS

• AAS

• ASA

• SSA

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Determine the number of possible triangles that can be drawn with the following dimensions: m<B = 33, a=27, and b = 22. (hint: find the height)

• 0

• 1

• 2

• 3

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Determine the number of possible triangles that can be drawn with the following dimensions: m<B = 29, a = 14 and b = 19.

• 0

• 1

• 2

• 3

Tags

CCSS.7.G.A.2

Which of the following scenarios would you be unable to use Law of Sines?

• AAS

• ASA

• SSA

• SSS

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Determine the number of possible triangles that can be drawn with the following dimensions: m<A = 29, c = 18, and a = 17

• 0

• 1

• 2

• 3

Tags

CCSS.7.G.A.2

In ΔABC, m<C = 53, m<B = 44 and AC = 7. Find AB to nearest tenth.

• 3.9

• 6.1

• 6.8

• 8.0

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Determine the number of possible triangles that can be drawn with the following dimensions: m<B = 84, a = 18 and b = 19

• 0

• 1

• 2

• 3

Tags

CCSS.7.G.A.2

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

• 47 only

• 47 and 133

• 47 and 88

• 55 and 125

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11