Essential Geometric Concepts: Triangles and Circles
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Classification of Triangles
| Classification by Sides | Classification by Angles |
|---|---|
| Equilateral: All 3 sides are equal. | Acute (Acutangle): Has 3 acute angles (less than 90°). |
| Isosceles: Has at least 2 equal sides. | Obtuse (Obtusangle): Has 1 obtuse angle (greater than 90°). |
| Scalene: All 3 sides are unequal (different lengths). | Right (Rectangle): Has 1 right angle (exactly 90°). |
Notable Lines and Points in a Triangle
- Altitude (Height): A segment drawn from a vertex perpendicular to the opposite side.
- Orthocenter: The point of intersection of the 3 altitudes of a triangle.
- Median: A line segment connecting a vertex to the midpoint of the opposite side.
- Centroid: The point of intersection of the 3 medians of a triangle.
- Angle Bisector: A line segment originating