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Revision: Geometry >> Triangles (Including Types, Properties and Constructions) Maths ICSE ICSE Class 6 CISCE

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Definitions [5]

Define a triangle.

A plane figure bounded by three lines in a plane is called a triangle. The figure below represents a ΔABC, with AB, AC andBC as the three line segments.

Definition:Triangle

A triangle (denoted by the symbol △) is the simplest closed shape in geometry. It is a two-dimensional figure made by connecting three points that do not lie on the same straight line (non-collinear).

Definition: Exterior Angle

An exterior angle is formed when a side of a triangle is extended beyond its vertex. The angle created between the extended side and the adjacent side of the triangle is the exterior angle.

Definition: Altitude

An altitude of a triangle is a straight line from one vertex, drawn perpendicular (at 90°) to the opposite side (or to its extension)

  • Orthocentre: The altitudes of a triangle pass through exactly one point; that means they are concurrent. The point of concurrence is called the orthocentre.
Definition: Median

The line segment joining a vertex of a triangle to the midpoint of its opposite side is called a median of the triangle.

  • The point where all three medians meet is called the centroid.
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