Location: In the point of intersection of angle bisectors. Diagram:
Explanation: See solution.
Practice makes perfect
Let's start with copying the given triangle and naming the vertices.
In order to find a location for the centerpiece, we need to find a point that is equidistant from the sides of the triangle. Let's use the Incenter Theorem.
The angle bisectors intersect at
a point called the incenter that is equidistant
from the sides of the triangle.
Thus, we need to draw angle bisectors of â–ł MLK and find their point of intersection.
All the angle bisectors intersect at point O. Therefore, O is the location of the centerpiece. As was required, it is equidistant from the sides of â–ł MLK.
