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Angle-Angle-Side

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A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegmentis parallel to the third side of the triangle and is half of the length of the third side.

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1. the center of mass of a geometric object of uniform density.

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In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). This line containing the opposite side is called the extended base of the altitude.

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The circumcenter is the center of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors.

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In geometry, a vertex angle is the angle associated with a vertex of a polygon. Often a vertex angle of a polygon is referred to simply as an angle of the polygon. A vertex angle in a polygon is often measured on the interior side of the vertex.

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The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side. There are therefore three altitudes in a triangle.

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A set of lines or curves are said to be concurrent if they all intersect. at the same point. In the figure below, the three lines are concurrent because they all intersect at a single point P. The point P is called the "point of concurrency".

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angles on the outside of a triangle

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difference in size, degree, circumstances, etc.; lack of equality.

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the angle on the bottom of the triangle

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a median of a triangle is a line segment joining a vertex to the midpoint of the opposing side, bisecting it. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at thetriangle's centroid.

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Angle-Side-Angle

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Side-Side-Side

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Side-Angle-Side

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angles inside a triangle