Question

In South Carolina, the interstates of I-20, I-26 and I-95 approximately form a triangle. A warehouse is to be built that is equidistant from each of the three highways. Which construction on the triangle will identify the location for the warehouse ? A) medians B) altitudes C) angle bisectors D) perpendicular bisectors

Answer 1

Solution:

Given Statement About South Carolina:

                            The interstates of I-20, I-26 and I-95 approximately form a triangle.

To Find: A warehouse which  is to be built such that it is equidistant from each of the three highways.

Solution: As we know the point which is equidistant from three vertices is called Circumcenter i.e Circle passing through three vertices of Triangle.The Circumcenter can be found by the point of intersection of Perpendicular Bisectors of triangle.

Option  (D) perpendicular bisectors Satisfies the above Criteria.

Answer 2

The warehouse should be located at the center of the incircle, the intersection of the angle bisectors, selection C.