Question

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 all 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

Answer 1

B

Explanation:

that would be B. This circle touches each side of the triangle and has a center which is equidistant from all of the sides.

Answer 2

B.

At the center of the inscribed circle of the park