is the centroid the center of a triange? if not? what is?
plz help!! thankx soooooo much!!
2007-10-07 12:29:40 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
and if its 2/3 the way, it cant be the center right?
2007-10-07 12:37:36 · update #1
yes, that's the point of gravity(?)
that's where you could balance the triangle on the end of a pin/needle.
2007-10-07 12:40:24 · answer #1 · answered by Mugen is Strong 7 · 0⤊ 0⤋
No, it is not the center of the triangle. But it is the center of gravity of the triangle. From a stiff piece of cardboaord cut out a triangle. Draw two medians. Their poin of intersection is the centroid. Now take a pin and yo/ll find that the triangle will balance perfectly on the head of the pin when placed at the centroid.
2007-10-07 19:40:26 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋
Yes, the centroid is the center of any triangle. If the mass of the triangle is evenly distributed, we can also call the centroid as the mass center of the triangle.
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To answer your further question:
It is 2/3 of the way to all three vertices. It is still well balanced!
2007-10-07 19:40:01 · answer #3 · answered by sahsjing 7 · 0⤊ 0⤋
The centroid is the intersection between the line segments that connect a vertex to the midpoint of the line opposite it. If it is an equilateral triangle, yes.
2007-10-07 19:34:08 · answer #4 · answered by Lizabeth 3 · 0⤊ 0⤋
a point whose coordinates are the averages of the corresponding coordinates of a given set of points and which for a given plane or three-dimensional figure (as a triangle or sphere) corresponds to the center of mass of a thin plate of uniform thickness and consistency or a body of uniform consistency having the same boundary
2007-10-07 19:42:44 · answer #5 · answered by u23892 1 · 0⤊ 0⤋
yes it is, and it is always 2/3 of the way from a vertex e to the midpoint of the opposite side
2007-10-07 19:35:58 · answer #6 · answered by Anonymous · 0⤊ 0⤋