Question 53
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=k3(x+y) cm2ABC = k\sqrt{3}(x+y)\text{ cm}^2ABC=k3(x+y) cm2.
a.[3]
Show that 4kx+4ky=xy4kx + 4ky = xy4kx+4ky=xy
b.[4]
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 y y\,y in terms of kkk.
Trigonometric Ratios Questions
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.