Answer:
KL = 40.5
Explanation:
From the information given in the diagram, P is the centroid of the triangle. Therefore, applying the centroid theorem,
⅔ of KL = LP
LP = 27
Plug in the value of LP
⅔(KL) = 27
Multiply both sides by 3
2(KL) = 3*27
2(KL) = 81
Divide both sides by 2
KL = 81/2
KL = 40.5