
ACD ACD\,ACD is a triangle and B B\,B lies on ACACAC. Angle CAD=60∘CAD = 60^\circCAD=60∘, AD=15AD = 15AD=15 cm, BD=CD=13BD = CD = 13BD=CD=13 cm
Show that AC2−15AC+56=0AC^2 - 15AC + 56 = 0AC2−15AC+56=0
Hence find the length of ACACAC
Hence, or otherwise, find the length of ABABAB
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.