Question

Short answer

Three towns $X,Y,Z$ form a shape of a triangle.

Step-by-step solution

Step 1. Given information:

Three towns $X,Y,Z$ form a shape of a triangle.

Step 2. Concept used.

Centroid and median relation of a triangle.

Step 3. applying the concept.

Draw three perpendicular bisectors of three sides of the triangle obtained from $X,Y,Z$with the help of a protractor.

All the three perpendicular bisectors meet at a point outside the triangle since the triangle is an obtuse triangle.