# Mathematics - Proof of Midpoint Theorem using Vectors

The midpoint of a side of a triangle in R^3 is the point that bisects that side (i.e., that divides it into two equal pieces). Let triangle in R^3 have sides A,B and C and let denote 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.

© BrainMass Inc. brainmass.com October 9, 2019, 11:56 pm ad1c9bdddfhttps://brainmass.com/math/vector-calculus/vector-calculus-proof-example-problem-273121

#### Solution Summary

A complete, neat and step-by-step solution is provided in the attached file.

$2.19