AQA AS Paper 2 2022 June — Question 8

Exam BoardAQA
ModuleAS Paper 2 (AS Paper 2)
Year2022
SessionJune
TopicSine and Cosine Rules

8 Triangle \(A B C\) has sides of length \(( m - n ) , m\) and \(( m + n )\) where \(0 < 2 n < m\) Angle \(A\) is the largest angle in the triangle.
8
    1. Explain why angle \(A\) must be opposite the side of length \(( m + n )\). 8
  1. (ii) Using the cosine rule, show that \(\cos A = \frac { m - 4 n } { 2 ( m - n ) }\)
    8
  2. You are given that \(B C\) is the diameter of a circle, and \(A\) lies on the circumference of the circle. The value of \(m\) is 8 Calculate the value of \(n\).