Midpoint theorem (triangle): Difference between revisions

Revision as of 04:53, 23 July 2022

Revision as of 08:45, 31 August 2022

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{{Short description|Geometric theorem involving midpoints on a triangle}}

[[File:Midpoint theorem.svg|thumb|upright=1.25|<math> \begin{align} &\text{D and E midpotsmidpoints of AC and BC}\\ \Rightarrow \, &DE \parallel AB\text{ and } 2|DE|=|AB|\end{align}</math>]]

The '''midpoint theorem''' or '''midline theorem''' states that if you connect the midpoints of two sides of a triangle then the resulting line segment will be parallel to the third side and have half of its length. The midpoint theorem generalizes to the [[intercept theorem]], where you rather than using midpoints partition both sides in the same ratio.