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Figure 113 : Ex-central triangle

    Ex-central triangle


  • Q01 | - Diagram
  • Q02 | - Defintion
  • Q03 | - Questions

    Q01. Diagram


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    Q02. Defintion and properties

    Construction
    • Draw ex-center J
      • Draw bisector of angle A
      • Draw bisector of external angle B
      • Draw bisector of external angle C
    • Three bisectors are concurrent at J which is ex-center
  • Similary draw excenters K and L
  • Join JK, KL, LJ to form a triangle JKL
  • which is called ex-centeral triangle
    Proof and properties
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    Q03. Questions
    Questions
    • 1. Draw 4 circles and each circle tangents three sides of triangle ABC
    • 2. What is ex-center ?
    • 3. What is in-center ?
    • 4. Verify by construction to show bisectors are congruent

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