CAIE P1 2016 June — Question 11

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2016
SessionJune
TopicStraight Lines & Coordinate Geometry

11 Triangle \(A B C\) has vertices at \(A ( - 2 , - 1 ) , B ( 4,6 )\) and \(C ( 6 , - 3 )\).
  1. Show that triangle \(A B C\) is isosceles and find the exact area of this triangle.
  2. The point \(D\) is the point on \(A B\) such that \(C D\) is perpendicular to \(A B\). Calculate the \(x\)-coordinate of \(D\).