Question

Brian is waiting at a park across the street from the hockey arena for his dad to pick him up. It rained most of the morning, and the streets still have puddles. At which point should Brian stand to be as far as possible from each street to avoid getting splashed? Explain your answer.

Answer 1

Brian should wait at point A because the boundary of the park is a triangle, and point A is the center of a circle inscribed in the triangle. For a circle inscribed in a triangle, the perpendicular distance between the center of the circle and each side of the triangle is equal.