POINT OF CONCURRENCY PROJECT

Problem

During the final out of a baseball game, there was a pop fly right in the balancing point between the center fielder, second baseman, and the right fielder. If each player runs a balanced distance to catch the ball, what would be the point of Concurrency? At what point will the players collide, or what point will the ball hit the ground?

Real Life Situation

Best Special Segment

In this situation, the median of triangle is the best special segment to use. In this case we are trying to find the the balance point, therefore you must find the centroid. The centroid will lead us to finding where the baseball will land equally between the players, or where the players will collide.

Construction

STEPS

• Pick any segment on the triangle.
• Take your compass, and open it up to measure about half of your segment.
• Place your compass on one vertex on the segment, amd create an ark.
• Using step 3, do the same with the opposite vertex on the segment.
• Repeat steps 1-4 with every segment on the triangle.

Steps Continued....

6. Once you have finished all your ark marks, take a strait edge, and draw a line connecting the intersection of your ark marks.

7. With those lines, you've created the triangles centroid at their intersection point.

Calculations for Midpoints

Midpoints

Slope Calculations

Equations Leading to POC

Point of Concurrency

Explanation

The three baseball players will collide at approximately (5.67, 10.33), or the ball will drop at this point. The point of concurrency for my scenario was the centroid, because it is the balance point for equal distance. The centroid represents where the ball will drop between three positions, or where the three players will collide as result of going for the ball. The special segments used for this scenario was the median of the triangle.