Difference between revisions of "Centroid"
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| − | The centroid of a triangle is the point of intersection of the [[median]]s of the triangle. The centroid has the special property that, for each median, the distance from a vertex to the centroid is twice that of the centroid to the side. Also, the three medians of a triangle divide it into six regions of equal area. | + | {{stub}} |
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| + | The '''centroid''' of a [[triangle]] is the point of intersection of the [[median]]s of the triangle. The centroid has the special property that, for each median, the distance from a vertex to the centroid is twice that of the centroid to the side. Also, the three medians of a triangle divide it into six regions of equal area. | ||
| + | The centroid is the center of mass of the triangle. | ||
| + | |||
(pictures needed) | (pictures needed) | ||
(proofs of these properties anyone?) | (proofs of these properties anyone?) | ||
Revision as of 19:29, 10 July 2006
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The centroid of a triangle is the point of intersection of the medians of the triangle. The centroid has the special property that, for each median, the distance from a vertex to the centroid is twice that of the centroid to the side. Also, the three medians of a triangle divide it into six regions of equal area. The centroid is the center of mass of the triangle.
(pictures needed) (proofs of these properties anyone?) (example problems?)
