midsegment of a triangle Chapter 6 (p. 318)
A segment that connects the midpoints of two sides of a triangle
A midsegment of a triangle is a line segment that connects the midpoints of two sides of a triangle. It is also known as a midline or a median.
To find the length of a midsegment, you simply add the lengths of the two sides it connects and divide by two. For example, if the midsegment connects sides AB and AC, its length would be (AB + AC)/2.
The midsegment of a triangle has a few important properties. First, it is parallel to the third side of the triangle. Second, it is half the length of the third side. Finally, if two triangles have congruent midsegments, they are similar triangles.
The midsegment can be useful in solving problems related to triangles, such as finding the area of a triangle or proving the congruence of two triangles.
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