Talk:Median (geometry)

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[edit] comments

Hi, I have a question about this page, does a median cut the angle of the vertex in half? Thanks, Aron G, Eh? Aron G 03:08, 2 December 2005 (UTC)

No - except when the triangle is isoceles. This is why the incenter is usually not the same as the centroid. --Henrygb 23:49, 2 December 2005 (UTC)

hey, does the median cut the distance between the two midpoint is half ? thanks Sarah

An unclear question, but if you are asking whether the point halfway from the vertex to the midpoint of the opposite side is exactly halfway between the other two side midpoints then yes. --Henrygb 03:03, 24 March 2006 (UTC)

[edit] Proving the Median creates two equal area triangles

How can you prove that the median divides a triangle into two equal areas ? —The preceding unsigned comment was added by 80.11.205.205 (talk) 18:32, 23 February 2007 (UTC).

Use the fact that the area of a triangle is half base times perpendicular height. QED --Henrygb 20:27, 23 February 2007 (UTC)