The Pedal Triangle
Output of MD2002 13 02
Read Instructions
Keywords : Pedal Triangle
Highlight
  • Defintion : See triangle IJK in Figure
  • Proof : See MD2002 program 13 03
Q1. What is ortho-center ?
A1. Answer
  • Alitudes of triangle meet at one point is called ortho-center
  • AD is perpendicular to BC.
  • BE is perpendicular to CC.
  • CF is perpendicular to AB.
  • Point O is the orthocenter of triangle ABC and incenter of triangle DEF.
  • Triangle DEF is called pedal triangle.
Q2. Prove that B, C, E, F are concyclic
A2. Proof
  • Angle BEC = 90 degrees
  • Angle BFC = 90 degrees
  • Hence points B, C, E, F are concyclic and radius of circle = BC/2
Reference
  • How to prove ? See program 13 02 in MD2002
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