In triangle ABCABCABC, AB=12 cmAB = 12\text{ cm}AB=12 cm and angle B=30∘B = 30^\circB=30∘
Given that the smaller of the two possible values for angle C C\,C is 45∘45^\circ45∘, find AC AC\,AC and the other possible value for angle CCC, giving both answers correct to 1 decimal place.
Given instead that BC=252 cmBC = 25\sqrt{2}\text{ cm}BC=252 cm, find the area of the triangle.
217 exam-style questions on Edexcel A Level Maths Trigonometric Ratios, covering 9.1 The Cosine Rule, 9.2 The Sine Rule, 9.3 Areas of Triangles, 9.4 Solving Triangle Problems, 9.5 Graphs of Sine, Cosine and Tangent, and 9.6 Transforming Trigonometric Graphs. Each one has a worked solution and a mark scheme showing where the marks go.