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

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.

step-by-step explanation:

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2