Triangles: Theorems and Problems 39
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Mittenpunkt Point
Triangle center |
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Problem
1.
Triangle, median, angles, 45 degrees. |
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Problem
2.
Triangle, angles, 10, 20 , 30 , 80 degrees. |
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Problem
3.
Triangle, Angles, 45 degrees, Auxiliary Lines. |
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Problem
5.
Triangle, cevian, equal segments, angles, cevian. |
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Problem
6.
Triangle, cevian, equal segments, and angles. |
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Problem
7.
Triangle, cevian, congruence, and angles. |
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Problem
8.
Triangles, equal segments, angles, 45 degrees. |
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Problem
9.
Triangles, equal segments, angles, 30 degrees. |
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Problem
10.
Triangle, cevian, equal segments, angles, 80-20 degrees. |
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Equilic Quadrilateral.
Equilateral triangles. |
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Nagel Point
Theorem. Proof.
Triangle center. |
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Puzzle of
the Nagel Point: 22 pieces of polygons. |
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Semiperimeter and excircles of a triangle.
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Semiperimeter and incircle of a triangle. |
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Semiperimeter, incircle and excircles of a triangle.
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Gergonne Point Theorem.
Concurrency.
Interactive proof with animation.
Key concept: Ceva's
Theorem.
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Ceva's Theorem.
Triangle, Concurrency.
Interactive proof with animation. Key concept:
Menelaus Theorem.
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Puzzle of
the Ceva's Theorem: 48 classic piece. |
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Menelaus' Theorem.
Interactive proof with animation and key concepts. |