Solving Triangles Law of Sines and Cosines

Which Law would you use?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• Law of Gravity

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

solve the triangle:
A=65 C=65 a=12

• B=50, b=9.9, c=12

• B=50, b=10.1, c=12

• B=70, b=12.8, c=12

• B=40 b=11.2, c=12

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find m<B

• A

• B

• C

• D

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Which Law would you use?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• Law of Gravity

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

The Law of Sines and the Law of Cosines can be used to do which of the following?

• measure the total degrees of a circle

• determine the pole in a polar coordinate system

• in many interesting cases, take limited given information about a triangle and basic understanding of geometry and find all the angles and lengths of those triangles

• herd clowns into a clown car

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

If three sides of a triangle are given, the Law of ____ is used to solve the triangle.

• Cosines

• Sines

• Tangent

• Cosecents

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Based on the given information determine the number of unique triangles that may exist.
A= 37°, a=8, b=14

• Triangle

• Triangles

• No Triangles

• Triangles

Tags

CCSS.7.G.A.2

Based on the given information determine the number of unique triangles that may exist.
A= 37°, a=8, b=14

• Triangle

• Triangles

• No Triangles

• Triangles

Tags

CCSS.7.G.A.2

Which Law would you use?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• Law of Gravity

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle. Solve any resulting triangles.

b=5, c=3, B=100

• One Triangle: C=36.2, A=43.8, a=3.51

• None

• One Triangle: B=30.7 C=99.3, c=3.86

• Two TrianglesB₁=68 , B₂=72 , c₁= 4.35, c₂= 6.25 C₁= 80 C₂=39

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11