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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