TODAY IN ALGEBRA 2.0…

Learning Target : You will solve triangles that have NO RIGHT ANGLE using LAW OF COSINES.

Independent Practice

WARM UP: Solve 𝑎

2. Find the missing angle:Angles of triangles add to

𝟏𝟓°1. Find the missing angle:

𝟑𝟒=¿

3. Find the missing side:

𝟒𝟕°

LAW OF COSINES:Use if given SAS or SSS.Use the formula basedon what is given.

𝐴

𝐵

𝐶

𝑎

𝑏

𝑐

GIVEN:

SIDE, ANGLE, SIDE

1. Find the missing side:

EXAMPLE: Solve

𝐴

𝐶

𝐵𝑎=11

𝑐=14

𝑏 𝟗𝟒 .𝟒°34 °𝟓𝟏 .𝟔°

2. Find the missing angle:

3. Find the missing angle:Angles of triangles add to

7.9≈

1. Find the missing side:

EXAMPLE: Solve

𝑐=19.8

𝟐𝟕 .𝟕°𝟔𝟒 .𝟏°

2. Find the missing angle:

3. Find the missing angle:Angles of triangles add to

1. Find the missing side:

PRACTICE: Solve 𝑎=35𝟐𝟑°𝟑𝟔°

2. Find the missing angle:

3. Find the missing angle:Angles of triangles add to

1. Find the missing side:

PRACTICE: Solve

𝑏=37𝟒𝟕°𝟐𝟖°

2. Find the missing angle:

3. Find the missing angle:Angles of triangles add to

GIVEN:

SIDE, SIDE, SIDE

1. Find the missing angle:

EXAMPLE: Solve

𝟏𝟏𝟐 .𝟕°𝟐𝟒 .𝟐°

2. Find the missing angle:

3. Find the missing angle:Angles of triangles add to

𝟒𝟑 .𝟏°

1. Find the missing angle:

EXAMPLE: Solve 𝟓𝟏 .𝟕°

𝟏𝟕 .𝟒°

2. Find the missing angle:

3. Find the missing angle:Angles of triangles add to

𝟏𝟏𝟎 .𝟗°

1. Find the missing angle:

PRACTICE: Solve 𝟏𝟏𝟓 .𝟗°𝟏𝟗 .𝟖°

2. Find the missing angle:

3. Find the missing angle:Angles of triangles add to

𝟒𝟒 .𝟑°

1. Find the missing angle:

PRACTICE: Solve

𝟒𝟏°

𝟐𝟒°

2. Find the missing angle:

3. Find the missing angle:Angles of triangles add to

𝟏𝟏𝟓°

HOMEWORK #7:

Law of Cosines WS

If finished, work on other assignments:

HW #1: Intro to TRIG WSHW #2: Pg. 856: 3-7, 9-14HW #3: Solving for missing sides WSHW #4: Solving for missing angles WSHW #5: Angle of Elevation and Depression WS #1HW #6: Law of Sines WS