3 years ago

Find M A. 17 B. 16 C. 18 D. 20

Mathematics

1 answer:

mixas84 [53]3 years ago

7 0

Answer:

A. 17

Step-by-step explanation:

using the cosine rule (also see attached for reference):

AB² = BC² + AC² - 2·AC·BC cos C

2·AC·BC cos C = BC² + AC² - AB²

Given that AC = 18, AB = 12 and BC = 18, substituting these into the formula

2(18)(28) cos C = 28² + 18² - 12²

1008 cos C = 964

cos C = 964/1008

cos C = 0.9563

C = cos⁻¹ 0.9563

C = 16.99 ( = 17° rounded to nearest degree)

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