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Circumcenter
An owner of an amusement park has a garbage can can for all 3 rides in his small park. The rides form a triangle and each have a garbage can next to them. The owner of the amusement park wants just one garbage can for all three rides. Where should the owner of the amusement park place the garbage can?
Incenter
A man is installing a new triangular counter-top. He wants to put a flower vase that is equal in length from all the sides. Where should he put the flower vase?
Imagine that there are three busy roads that form a triangle. You want to open a store that is equal in distance from each road to get as many customers as possible.
Centroid
A carpenter is designing a triangular table with one leg. Where should he place the leg(center of gravity) so that it can support the table?
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