Question

If ∆ABC, B = 30°, AB = 11 cm and BC = 60 cm. Find AC.​

Answer 1

If ∆ABC, B = 30°, AB = 11 cm and BC = 60 cm. AC = 50.77 cm

Using Cosine rule, we have,

b^2 = a^2 + c^2 - 2 × a × c × cos B

Let, AB = a = 11 cm, BC = c = 60 cm and AC = b

b^2 = 11^2 + 60^2 - 2 × 11 × 60 × cos 30°

b^2 = 121 + 3600 - 1320 × √3/2

b^2 = 3721 - 660√3

b^2 = 2577.8

b = 50.77 cm

Answer 2

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