Question 79
In triangle ABCABCABC, AB=xAB = xAB=x, AC=yAC = yAC=y and angle A=60∘A = 60^\circA=60∘. It is given that 8x+8y=xy8x + 8y = xy8x+8y=xy.
a.[3]
Show that the area of ABC=23(x+y) cm2ABC = 2\sqrt{3}(x+y)\text{ cm}^2ABC=23(x+y) cm2.
b.[4]
When the vertices of the triangle are placed on the circumference of a circle, x=12x=12x=12 and y=24y=24y=24. Verify that AC AC\,AC is a diameter of the circle.
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.