How to find the vertical distance of a triangle

Vertical Runner partners with Northeast Ohio Fit which is a training program for those people who are looking to complete a fall race. Join The Fun What started out as a running store in 2009 has developed into a community for walkers, runners, track and field athletes and others to come find the best footwear and apparel options. Stairs, staircase, stairway, stairwell, and flight of stairs are all names for a construction designed to bridge a large vertical distance by dividing it into smaller vertical distances, called steps. Stairways may be straight, round, or may consist of two or more straight pieces connected at angles. Given a point in 3D space of the form (x, y, z) and a triangle consisting of 3 vectors (also in the (x, y, z) format), how would I calculate the minimum distance between the point and the face of the