Question

If Z is the centroid, what type of line
segments are drawn?



Z is the "centroid" of ARST​

Answer 1

The line segments are medians.

• Every triangle has a single point somewhere around its "centre" that enables the triangle to help it balance precisely. The intersection of the three medians yields the centroid of a triangle, which in a way serves as the triangle's balance point.
• The centroid of a triangle would be where it balanced on the tip of our finger if it were made of a consistently solid material, like thick cardboard, sheet metal, or plywood.
• The line segment that is drawn by connecting one vertex of the triangle to the middle of the other side of a triangle is known as the median.

Here, according to the given information, we are given that,

Z is the centroid.

Then, PT, RX and OS are medians of the triangle.

Hence, the line segments are medians.

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