Midpoint theorem (triangle): Difference between revisions

Revision as of 10:45, 20 February 2024

Revision as of 18:57, 29 March 2024

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The triangle formed by the three parallel lines through the three midpoints of sides of a triangle is called its [[medial triangle]].

==Proof==

{{Math proof|styleproof="width:800px" valign="top" |[[File:Midpoint Theorem proof.png|thumb|304x304px]]

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|style="width:800px" valign="top" |[[File:Midpoint Theorem proof.png|thumb|304x304px]]

'''Given''': In a <math>\triangle ABC </math> the points M and N are the midpoints of the sides AB and AC respectively.

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*<math>MN\parallel BC</math>

*<math>MN={1\over 2}MD={1\over 2}BC</math>

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==References==