Question

Please answer this problem worth 59 pts

Answer 1

• 35.2

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