Question

what is true about segments lp, mp and np?

Explanation:

Step1: Use the property of the in - center of a triangle

The point \(P\) is the in - center of \(\triangle KNJ\) (since \(P\) is the intersection of the angle bisectors of \(\triangle KNJ\)). The in - center of a triangle is equidistant from the sides of the triangle.
Segments \(LP\), \(MP\), and \(NP\) are the distances from the in - center \(P\) to the sides \(KN\), \(NJ\), and \(KJ\) respectively.

Answer:

Segments \(LP\), \(MP\), and \(NP\) are equal in length.