Question

P is the incenter of QRS. Use the given information to determine find the indicated measure.

Answer 1

The incenter is equidistant from all three triangle sides.
So, PJ = PK = PL.
PJ = 4x -8
PL = x + 7

Therefore,
4x -8 = x + 7
3x = 15
x = 5
So, PJ = 12
PL = 12 and
PK = 12