Answer:
- m∠C = 43.6°, m∠B = 107.4°, b = 51.2
Step-by-step explanation:
Use the law of sines:
- a / sin ∠A = c / sin ∠C
- 26 / sin 29° = 37 / sin ∠C
- sin ∠C = 37 sin 29° / 26
- sin ∠C = 0.6899
- m∠C = arcsin 0.6899
- m∠C = 43.6°
Find the missing angle:
- m∠B = 180° - 29° - 43.6° = 107.4° (rounded)
Use the law of sines to find the length of b:
- a / sin ∠A = b / sin ∠B
- 26 / sin 29° = b / sin 107.4°
- b = 26 sin 107.4° / sin 29°
- b = 51.2 units (rounded)
