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The Cosine Rule

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Question 16

A structural support for a roof is shaped like a triangle with the following side lengths:

  • The first side has length (2x−7)(2x - 7)(2x−7) cm.
  • The second side has length 37 \sqrt{37}\,37​ cm.
  • The base has length (x+2)(x + 2)(x+2) cm.
  • The interior angle between the side of length (2x−7)(2x - 7)(2x−7) and the base is 60∘60^\circ60∘.

Work out the value of xxx.

[5]

The Cosine Rule Questions

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