The Area of the Pedal Triangle of the Centroid

Connect the feet of the perpendiculars from the centroid of the triangle ABC to its sides to form the pedal triangle of the centroid. Let the area of be and the area of ABC be . Then .



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


See Problem 5 in N. Altshiller-Court, College Geometry, 2nd ed., Mineola, NY: Dover, 2007 p. 71.
    • 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.