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A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. This segment has two special properties. It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

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How to Determine if Three Side Lengths Are a Triangle: 6 Steps

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Triangle Inequality Theorem. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

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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 opposite side of the triangle). This line containing the opposite side is called the extended base of the altitude.

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A line or ray that divides an angle in half. For polygons, an angle bisector is a line that bisects an interior angle. Note: The angle bisectors of a triangle are concurrent and intersect at the incenter.

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Ordering a triangle's sides by length using angles - YouTube

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Ordering Angle Measurements based on side lengths.

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Ordering Angle Measurements based on side lengths.

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Ordering Angles and Ordering Sides of a Triangle Based on Measure ...

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

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A perpendicular bisector is a special kind of segment, ray, or line that. (1) intersects a given segment at a 90° angle, and. (2) passes through the given segment's midpoint.