IB Math HL Trigonometry Test 3 2014 P1 Q7

IB Math HL Trigonometry Test 3 2014 P1 Q7

IB Year 6 | Grade 12
9 marks

The side lengths of triangle \(ABC\) are \(x-2,x,x+2\). The largest angle is \(120^\circ\).

  1. Find \(x\).[4]
  2. Show that the area is \(\frac{15\sqrt3}{4}\).[2]
  3. Find \(\sin A+\sin B+\sin C\), giving the answer in the form \(\frac{p\sqrt q}{r}\).[3]

Solution:

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Answer:(a) \(x=5\). (b) \(\frac{15\sqrt3}{4}\). (c) \(\frac{15\sqrt3}{14}\).

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