Another Relation between the Areas of Triangles Associated with an Excircle

Let ABC be a triangle. Let D and E be the points of contact of the incircle of ABC with AB and AC. Let J be the excenter of the excircle opposite A and let G and F be the intersections of DJ and EJ with BC. Let , , and be the areas of GJF, DBG, and ECF, respectively. Then .

THINGS TO TRY

SNAPSHOTS

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

DETAILS

The statement of the theorem is in Problem 188. Area of Triangles, Incenter, Excenter.
    • 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.