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