Menu
Home
People
Places
Arts
History
Plants & Animals
Science
Life & Culture
Technology
Reference.org
Medial triangle
open-in-new
<p>In <a href="/facts/Euclidean_geometry/V6cTcoCy">Euclidean geometry</a>, the medial triangle or midpoint triangle of a <a href="/facts/Triangle/cRXUwsMn">triangle</a> △<i>ABC</i> is the triangle with <a href="/facts/Vertex_(geometry)/ID3cea9z">vertices</a> at the <a href="/facts/Midpoint/ykRvr0Vk">midpoints</a> of the triangle's sides AB, AC, BC. It is the <i>n</i> = 3 case of the <a href="/facts/Midpoint_polygon/2TjI19kW">midpoint polygon</a> of a <a href="/facts/Polygon/yAq7RjPz">polygon</a> with n sides. The medial triangle is not the same thing as the <a href="/facts/Median_triangle/manPmyQw">median triangle</a>, which is the triangle whose sides have the same lengths as the <a href="/facts/Median_(geometry)/jPT2T5F9">medians</a> of △<i>ABC</i>. </p><p>Each side of the medial triangle is called a <i>midsegment</i> (or <i>midline</i>). In general, a midsegment of a triangle is a line segment which joins the midpoints of two sides of the triangle. It is parallel to the third side and has a length equal to half the length of the third side. </p>