Triangle Properties - Maple Programming Help

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Triangle Properties

Features of a Triangle

Midpoint

The point along a side of a triangle that is equidistant from the endpoints (vertices) of that particular side.

Cevian Line

Any line segment joining one vertex of a triangle to a point on its opposite side. Medians, altitudes, and angle bisectors are special cases of cevian lines.

Median

A line segment joining one vertex of a triangle to the midpoint of the opposite side.

Centroid

The point of intersection of all three medians of a triangle.

Altitude

A line segment joining one vertex of a triangle to a point on its opposite side, which is perpendicular to this opposite side.

Orthocenter

The point of intersection of all three altitudes of a triangle.

Angle Bisector

A line segment joining one vertex of a triangle to a point on its opposite side, which bisects the interior angle associated with the given vertex.

Incenter

The point of intersection of all three interior angle bisectors. The incenter is also the center of the incircle.

Incircle

A circle which is inscribed inside a triangle and is tangent to all three sides.

Circumcircle

A circle which circumscribes a triangle, passing through all three vertices.

Perpendicular Bisector

A line segment which passes through the midpoint of a side of a triangle and is perpendicular to that particular side.

Circumcenter

The point of intersection of all three perpendicular bisectors of a triangle. The circumcenter is also the center of the circumcircle.

 

Select the features to display using the check boxes below.

For simplicity, checking "Median", "Altitude", "Angle Bisector" or "Perpendicular Bisector" will display only one of the three possibilities on the triangle to the left. To see all three possibilities of each type of line, check the associated center point box to its right.

 

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