Question

In angle ABC, AB = 8 cm, BC = 4 cm, CA = 5 cm and BC is produced to P so that CP = 4 cm. Use the cosine rule to find Cos ACB. Hence, find AP

Answer 1

c^2 = a^2 + b^2 - 2ab cos C
8^2 = 4^2 + 5^2 - 2*4*5 cosC
C = 125°
So, angle ACP = 55°
AP^2 = 4^2 + 5^2 - 2*4*5 cos55°
AP = 4.25

Answer 2

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Answer 3

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