Answer:
Step-by-step explanation:
Find the missing angle:
- m∠L = 180° - 60° - 45° = 75°
Use the law of sines to determine the lengths of the sides:
- LM / sin ∠K = KM / sin 75°
- 12 / sin 60° = KM / sin 75
- KM = 12 sin 75° /sin 60° = 13.4 (rounded)
- KL / sin ∠M = LM / sin ∠K
- KL / sin 45° = 12 / sin 60°
- KL = 12 sin 45° / sin 60° = 9.8 (rounded)
Find perimeter:
- P = 12 + 13.4 + 9.8 = 35.2
