OCR C2 2011 June — Question 1

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
Year2011
SessionJune
TopicSine and Cosine Rules

1 The diagram shows triangle \(A B C\), with \(A B = 9 \mathrm {~cm} , A C = 17 \mathrm {~cm}\) and angle \(B A C = 40 ^ { \circ }\).
  1. Find the length of \(B C\).
  2. Find the area of triangle \(A B C\).
  3. \(D\) is the point on \(A C\) such that angle \(B D A = 63 ^ { \circ }\). Find the length of \(B D\).