Problem 14: In triangle ABC, E is a point on AC and K is a point on AB. ME is perpendicular to AC and MK is perpendicular to AB. If ME = 13. What is the length of MK?

Unfortunately, I cannot solve this problem with the information provided. The image shows a triangle ABC with points E on AC and K on AB. ME is perpendicular to AC and MK is perpendicular to AB. We are given ME = 13. However, there is no information about the relationship between ME and MK, or any other lengths or angles that would allow us to determine the length of MK.