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Practical Geometry - Triangles

Definitions and notations

Math
  • Altitude In a triangle, the altitude is a line segment drawn from a vertex perpendicular to the opposite side (or its extension). It is also referred to as the height of the triangle. The altitude can be inside, outside, or on the triangle, depending on the type of triangle. The altitude divides the triangle into two right triangles.

  • Median In a triangle, the median is a line segment drawn from a vertex to the midpoint of the opposite side. Each triangle has three medians, each connecting a vertex to the midpoint of the opposite side. The medians intersect at a point called the centroid, which is the center of gravity or the balancing point of the triangle.

  • Right Bisector A right bisector of a line segment is a line that passes through the midpoint of the line segment and is perpendicular to it. In other words, it is a line that divides the line segment into two equal parts and forms a right angle with it.

  • Bisector of an Angle or Angle Bisector The bisector of an angle is a line or line segment that divides the angle into two congruent angles. In other words, it is a straight line that passes through the vertex of the angle and divides it into two equal parts.

  • Protractor A protractor is a common geometric tool used to measure and draw angles accurately. It is shaped like a semi-circle or a circular disc. The protractor is marked with degree measurements ranging from 0 to 180 or 360 degrees.

  • Compass A compass is a tool used for drawing and measuring circles and arcs. It consists of two arms or legs, one with a sharp point called the needle or pivot, and the other with a pencil or pen tip. The arms are connected by a hinge that allows them to open and close. The compass is primarily used to draw circles of a specific radius. It can also be used to draw arcs of a specific radius.