What is true about the length of a mid segment in a triangle?

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The correct statement about the length of a mid segment in a triangle is that it is equal to one-half the length of the side opposite the mid segment. A mid segment is formed by connecting the midpoints of two sides of a triangle, and by the Triangle Midsegment Theorem, this mid segment is parallel to the third side and measures exactly half its length.

This characteristic is essential because it helps establish proportional relationships within the triangle, demonstrating how the mid segment relates to the overall structure. Understanding this property can also aid in various applications such as geometric proofs and solving problems related to triangle properties.

The other options do not accurately reflect the characteristics of mid segments. For instance, a mid segment does not equal the length of one of the sides, is not longer than the longest side, and does not bisect the area of the triangle into two equal areas.

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