Answer:
16.34m
Step-by-step explanation:
Since 85 is the widest angle, it follow that the opposing segment must be the longest.
Assuming this we can verify with the cosine theorem:
c² = a² + b² − 2ab cos(C)
16.34² = 12.57² + 11.60² - 2*11.60*12.57.cos(85°) ?
266.99 = 158.00 + 134.56 - 291.62 * 0.087
266.99 = 266.99
Solving both sides independently, we arrive to the same number, proving our hypothesis