State the point of concurrency (centroid, incenter, circumcenter or orthocenter) that you would use for the given scenario. (4 points) abc widget company wants to build a central location for it’s new distribution center. they need the center to be equally located between their 3 stores. which point of concurrency is needed to determine the best location? build it furniture company is designing a triangular pedestal table and need to determine the exact center of the table top. which point of concurrency is needed to determine the exact location of the table top? we could come up with a unique scenario for this point of concurrency but unfortunately this point is good for absolutely nothing. charleston is building a statue of euclid to celebrate his influence in mathematics. the center of the park that they would like to build the statue of euclid has a triangular walkway that borders the location for the statue. they want the statue to be the same distance from each side of the walkway. which point of concurrency is needed to determine the best location within the triangular region?

Solution:

Centroid: Point of intersection of Medians of Triangle which is drawn from opposite vertex.

Incenter : Point of intersection of Angle Bisectors drawn from opposite vertex of triangle.

Circumcenter : Point of intersection of Perpendicular bisectors of sides of triangle.

Orthocenter: Point of intersection of perpendiculars drawn from opposite vertex of triangle.

1.ABC Widget Company wants to build a central location for it’s new distribution center. They need the center to be equally located between their 3 stores. Which point of concurrency is needed to determine the best location?

Circumcenter , as it is equidistant from three vertices A, B and C.

2. Build it Furniture Company is designing a triangular pedestal table and need to determine the exact center of the table top. Which point of concurrency is needed to determine the exact location of the table top?

Centroid , it is located exactly inside the center of Triangle.

3. We could come up with a unique scenario for this point of concurrency but unfortunately this point is good for absolutely nothing.

Answer : Orthocenter,

4. Charleston is building a statue of Euclid to celebrate his influence in mathematics. The center of the park that they would like to build the statue of Euclid has a triangular walkway that borders the location for the statue. They want the statue to be the same distance from each side of the walkway. Which point of concurrency is needed to determine the best location within the triangular region?

Incenter, as it is a point which is equidistant from three sides of triangle.

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