Paper 2 · Co-ordinate Geometry of the Line ⏱ Tested in 4 exam questions since 2022 Lesson 4 of 9

The line 4: Area of Triangle

This tutorial is for members

Read the lesson notes free below — subscribe to watch the full worked video and download the PDF.

Subscribe for full access · €199/yr

You’ll learn

  • Find a triangle's area with ½|x₁y₂ − x₂y₁| when one vertex is at the origin
  • Translate all three vertices by the same shift so one lands on the origin first
  • Find an unknown coordinate by setting the area formula equal to a given area
  • Split the modulus into ± cases and discard the geometrically invalid answer

Most recent exam questions

  • 2025 P2 Q1(c)
  • 2025 P2 Q7(c)(iii)
  • 2023 P2 Q3(a)
  • 2022 P2 Q3(b) — deferred

💬 Stuck on something in this lesson?

Send your question with this lesson’s name attached — you’ll get a reply by email.