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The city council is planning to construct a park on North Street that has a triangular perimeter. They want to place a fountain at a point equidistant from the three sides of the park. Where should the council place the fountain?

A. At the point of intersection of the angle bisectors and perpendicular bisectors of the park
B. At the center of the inscribed circle of the park
C. At the center of the circumscribed circle of the park
D. At the point of intersection of the lines perpendicular to two sides of the park
E. At the point of intersection of the medians of the park


Sagot :

Final answer:

The city council should place the fountain at the center of the circumscribed circle of the park.


Explanation:

The city council should place the fountain at the center of the circumscribed circle of the park. This is because the circumscribed circle is the circle that passes through all three vertices of the triangle. Placing the fountain at the center of this circle ensures it is equidistant from all three sides of the park.


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