Unit 14 – Day 1 Name: Date: Integrated Analysis: HMWK

Triangles – Right Triangles and Trigonometric Ratios (#1-3) Find the following information based on the figure of △ 𝐴𝐵𝐶. Leave all trig values as reduced fractions.

1)

𝑎 = 15, 𝑏 = 17

2) cos𝐶 = 4041

𝑐 = ______ 𝑎 = ______ sin𝐴 = ______ 𝑏 = ______ cos𝐴 = ______ 𝑐 = ______ tan𝐴 = ______ sin𝐴 = ______ cos𝐵 = ______ cos𝐵 = ______ tan𝐶 = ______ tan𝐶 = ______ 3) 𝑎 = 15, 𝑏 = 16, 𝑐 = 17, 𝐷𝐶̅̅ ̅̅ = 6

cos𝐶 = ______ tan𝐶 = ______ sin𝐴 = ______

Unit 14 – Day 1 (#4-6) Find the following information based on the figure of △ 𝐴𝐵𝐶. Round to the nearest hundredth for side lengths and to the nearest degree for angles. 4) 𝑐 = 24, 𝑚∠𝐴 = 55° 5) 𝑐 = 17, 𝑚∠𝐶 = 34°

𝑏 = ______ 𝑎 = ______ 6) 𝑏 = 7.9, 𝑚∠𝐵 = 48°

𝑎 = ______ 𝑐 = ______ 𝑚∠𝐴 = ______ 𝑚∠𝐶 = ______

Unit 14 – Day 2 Name: Date: Integrated Analysis: HMWK

Triangles – Area and the Law of Sines (#1-4) Find the area of the following triangles. Round to the nearest hundredth and label as “sq units”. 1) 𝑐 = 13, 𝑏 = 18, 𝑚∠𝐴 = 78° 2) 𝑐 = 5, 𝑎 = 12, 𝑚∠𝐵 = 25°

3) 𝑎 = 8, 𝑏 = 5, 4) 𝑎 = 25, 𝑐 = 31, 𝑚∠𝐴 = 35°, 𝑚∠𝐵 = 41° 𝑚∠𝐵 = 15°, 𝑚∠𝐶 = 89°

Unit 14 – Day 2 (#5-8) Find the missing side or angle for each of the following triangles. Round to the nearest hundredth for side lengths. Round to the nearest degree for angles. 5) 𝑚∠𝐵 = 42°, 𝑚∠𝐶 = 101°, 𝐴𝐶̅̅ ̅̅ = 6 6) 𝑚∠𝐴 = 95°, 𝑚∠𝐶 = 36°, 𝑎 = 13 Find 𝐴𝐵̅̅ ̅̅ Find 𝑐

7) 𝑚∠𝐶 = 29°, 𝐴𝐵̅̅ ̅̅ = 9, 𝐴𝐶̅̅ ̅̅ = 8 8) 𝑚∠𝐴 = 108°, 𝑎 = 22, 𝑐 = 16 Find 𝑚∠𝐵 Find 𝑚∠𝐶

Unit 14 – Day 3 Name: Date: Integrated Analysis: HMWK

Triangles – The Law of Cosines (#1-4) Find the required missing parts of the following triangles. Round to the nearest hundredth for side lengths and to the nearest degree for angles. 1) 𝑎 = 25, 𝑏 = 19, 𝑐 = 21 2) 𝑎 = 15, 𝑏 = 22, 𝑚∠𝐶 = 70°

𝑚∠𝐴 = ________ 𝑐 = ________ 𝑚∠𝐵 = ________ 𝑚∠𝐶 = ________

Unit 14 – Day 3 3) 𝑐 = 28, 𝑏 = 17, 𝑚∠𝐴 = 66° 4) 𝑎 = 2, 𝑏 = 6, 𝑐 = 7

𝑎 = ________ 𝑚∠𝐴 = ________ 𝑚∠𝐵 = ________ 𝑚∠𝐶 = ________