Pedal triangle of equilateral triangle
Q01. Diagram
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Q02. Pedal triangle of equilateral triangle
Construction
- Draw an equilateral triangle
- Draw three heights AD, BE, CF
- Triangle DEF is the pedal triangle
Properties
- Centroid, circum-center and in-center of ABC at same point O
- Centroid, circum-center and in-center of DEF also at same point O
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Q03. Questions
Questions
- 1. Prove the 4 triangles are congruents
- 2. Prove that in-center, centroid and circum-center at same point
- 3. Find the location of centoid of triangle DEF
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