(Solution) - The midpoint of a side of a triangle in R3 -(2025 Original AI-Free Solution)

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The midpoint of a side of a triangle in R3 is the point that bisects that side (i.e., that divides it into two equal pieces). Let ? be a triangle in R3 with sides A, B, and C and let L denote the line segment between the midpoints of A and B. Prove that L is parallel to C and that the length of L is one-half the length of C.