# What is an example of a real world situation that implies the perpendicular bisector theorem?

Poll, reinforced from two sides with strings of equal length, anchored symmetrically on both sides.

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An example of a real-world situation that implies the Perpendicular Bisector Theorem is when constructing or analyzing properties of triangles in architecture or engineering. For instance, in the design of bridges, architects and engineers often need to ensure that the supports or pillars are positioned correctly to distribute weight evenly and provide stability. The Perpendicular Bisector Theorem can be applied to ensure that the supports are equidistant from certain points on the bridge, thus helping to maintain balance and structural integrity.

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- A triangle has corners A, B, and C located at #(4 ,2 )#, #(3 ,4 )#, and #(6 ,8 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- A triangle has corners A, B, and C located at #(8 ,7 )#, #(1 ,5 )#, and #(6 , 3 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- A triangle has corners A, B, and C located at #(1 ,3 )#, #(9 ,5 )#, and #(6 ,2 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- What is the orthocenter of a triangle with corners at #(3 ,1 )#, #(4 ,5 )#, and (2 ,2 )#?
- A triangle has corners A, B, and C located at #(7 ,6 )#, #(8 ,3 )#, and #(2 ,1 )#, respectively. What are the endpoints and length of the altitude going through corner C?

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