Deriving the Formula for the Area of a Parallelogram

The Demonstration shows a graphics derivation of formula for the area of the parallelogram given by points , , , and , namely . The area of triangle , , is . Since the expression could be negative, it gives the so-called signed area.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

The expression is the determinant of the 2×2 matrix .
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.