In triangle ABCABCABC, AB=xAB = xAB=x, AC=yAC = yAC=y and angle A=60∘A = 60^\circA=60∘. It is given the area of ABC=23(x+y) cm2ABC = 2\sqrt{3}(x+y)\text{ cm}^2ABC=23(x+y) cm2.
Show that 8x+8y=xy8x + 8y = xy8x+8y=xy
When the vertices of the triangle are placed on the circumference of a circle, AC AC\,AC is a diameter of the circle. Determine the value of x x\,x and the value of yyy.
Trigonometric Ratios Questions
Practise Edexcel AS Level Maths Trigonometric Ratios with exam-style questions for AS Level Maths. 20 questions 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, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.