show that the triangle the mediant are concurrent
Answers
Step-by-step explanation:
The median of a triangle is a segment joining any vertex to the midpoint of the opposite side. The medians of a triangle are concurrent (they intersect in one common point). The point of concurrency of the medians is called the centroid of the triangle. The medians of a triangle are always concurrent in the interior of the triangle.
centroid1
centroid1T
cenroid2
centroid2T
The centroid divides the medians into a 2:1 ratio. The portion of the median nearest the vertex is twice as long as the portion connected to the midpoint of the triangle's side. For example, in ΔABC, shown above, if the length from C to the centroid is 10 units, then the distance from the centroid to P is 5 units.
Archimedes showed that the point where the medians are concurrent (the centroid) is the center of gravity of a triangular shape of uniform thickness and density.
If you cut a triangle out of cardboard and balance it on a pointed object, such as a pencil, the pencil will mark the location of the triangle's centroid (center of gravity or balance point).
balancepencil
Answer:
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Step-by-step explanation:
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