Ex-central triangle
Q01. Diagram
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Q02 Ex-central triangle
Construction
- Draw triangle ABC
- Draw ex-center E
- Draw bisector of angle BAC
- Draw bisection of external angle B
- Draw bisection of external angle C
- Bisectors meet at E which is the ex-center of triangle ABC
- Draw ex-center F
- Draw ex-center G
- Triangle EFG is the ex-central triangle
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Q03. Properties of ex-central triangle
- 1. E, C, F are colinear
- 2. F, A, G are colinear
- 3. G, B, E are colinear
- 4. Triangle ABC is pedal triangle of triangle EFG
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Q04. Questions
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Ex-central Triangle
- 01 | - Diagram
- 02 | - Definition of Ex-central triangle
- 03 | - The proof of the formation of an ex-center
- 04 | - In-center of triangle ABC is ortho-center of triangle JKL
- 05 | - The tangent from A to ex-circle
- 06 | - The coordinate of ex-center
- 07 | - The angles of ex-central triangle JKL
- 08 | - The sides of ex-central triangle JKL
- 09 | - The area of ex-central triangle
- 10 | - The circum-radius of ex-central triangle
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Q05. Reference
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