Question

circumcenter and incenter open notes quiz
if p is the incenter of \\( \triangle x y z \\), find pk in the figure below.

nothing else.

Explanation:

Step1: Recall the property of the incenter

The incenter of a triangle is equidistant from all the sides of the triangle. So, \(PL = PK=PJ\).

Step2: Determine the value of \(PK\)

Since \(PL = 20\) (given the length from the incenter \(P\) to side \(XZ\) is \(20\)), and because of the equidistant property of the incenter, \(PK = 20\).

Answer:

\(20\)