OCR MEI C1 — Question 4

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
TopicStraight Lines & Coordinate Geometry

4 The coordinates of the points \(\mathrm { A } , \mathrm { B }\) and C are ( \(- 2,2\) ), ( 1,3 ) and ( \(3 , - 3\) ) respectively.
  1. Find the gradients of the lines AB and BC .
  2. Show that the triangle ABC is a right-angled triangle.
  3. Find the area of the triangle ABC .