Ex-central triangle of equilateral triangle
Q01. Diagram
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Q02. Ex-central triangle of equilateral triangle
Construction
- Draw equilateral triangle ABC
- Draw ex-center J
- Draw ex-center K
- Draw ex-center L
- Triangle JKL is ex-central triangle
Properties
- O is the in-center of triangle ABC
- O is the centroid of triangle ABC
- O is the orhto-center of triangle ABC
- Traingle JKL is all equilateral triangle
- J, C, K are concurrent
- K, A, L are concurrent
- L, B, J are concurrent
- Triangle JFK is also pedal triangle of triangle ABC
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Q03. Questions
Questions
- 1. Prove that J, C, K are concurrent by construction
- 2. Prove that K, A, L are concurrent by construction
- 3. Prove that L, B, J are concurrent by construction
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