Chapter 5.1, Problem 4CYU

To determine

To find: The copy of positions of the points $A$ , $B$ , and $C$ .

Answer to Problem 4CYU

  $A$ , $B$ , and $C$ , are equidistant to $D$

Explanation of Solution

Given information:

Given that four friends are passing out flyers at a mall food court. The fourth one keeps the supply of additional flyers. Then position of fourth friend at $D$ so that she is the same distance from each of other three friends.

  

Calculation:

Four friends are passing out flyers at a mall food court named as $A$ , $B$ , $C$ , and $D$ .

To get the point $D$ the same distance from points $A$ , $B$ , and $C$ .

Using perpendicular bisector of the triangle $△ABC$ which intersects at the circumcentre where we locate point $D$$△ABC$ which intersects at the circumcentre where we locate point $D$ .

The point where the perpendicular bisectors meet is the circumcenter and equidistant from the three points.

  

Figure- $\left(1\right)$

Therefore, $A$ , $B$ , and $C$ , are equidistant to $D$ .