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The Cosine Rule

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Question 1

A triangular sail for a model boat has dimensions as follows:

  • One side has length (x+2)(x + 2)(x+2) inches.
  • The other side has length (3x−2)(3x - 2)(3x−2) inches.
  • The edge opposite the 60∘ 60^\circ\,60∘ angle has length 76 \sqrt{76}\,76​ inches.

Work out the value of xxx.

[5]

The Cosine Rule Questions

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  3. /The Cosine Rule