Triangle MidSegment Theorem & Triangle Inequalities

The Triangle Midsegment Theorem states that a midsegment of a triangle is parallel to one side of the triangle and its length is half the length of that side.

To find the length of segment VX, double the length of the midsegment KJ.

A midsegment is a line segment that connects the midpoints of two sides of a triangle.

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

The maximum length of the third side is less than 8 (2 + 6).

The minimum length of the third side is greater than 4 (6 - 2).

Parallel segments in triangles indicate that they will never intersect and maintain equal distance apart, often relating to midsegments and corresponding sides.

The largest angle in a triangle is opposite the longest side.

The length of side WU is 16 (double the length of the midsegment QR).

The midsegment divides the triangle into two smaller triangles that are similar to the original triangle.