In ABC, BC = a = 16, AC = b = 10, and m = 22°. Which equation can you use to find the value of c = AB?

By cos Rule: c² = a² + b² - 2abcosФ

c = 7.7

Step-by-step explanation:

∵ AC = 10, BC = 16, m∠C = 22°

∴ We can use the cos Rule:

∵ c² = a² + b² - 2abcos (C)

∴ c² = (10) ² + (16) ² - 2 * 10 * 16 cos (22)

∴ c² = 100 + 256 - 320cos (22) = 59.301167

∴ c = 7.7