Given:
Point P is the incenter of triangle HKM.
To find:
The measure of JP.
Solution:
In triangle MNP, using Pythagoras theorem, we get
Taking square root on both sides, we get
Side cannot be negative. So,
Point P is the incenter of triangle HKM.
[Incenter is equidistant from each side of triangle]
Therefore, the value of JP is 7 units.