Matt L. answered 01/24/13
MIT/Harvard Grad for Academic Tutoring & Test Prep
Matt L.
Robert, your comment doesn't explain anything -- it doesn't teach the student how to find distances in general, or where the distance formula comes from. You're right, of course, that it happens to work out in this problem that the distance is 13. But simply telling the student the answer, or pointing out the happy coincidence that the side lengths of the triangle form a Pythagorean triple, doesn't teach him anything; it merely shows that you know how to do the problem.
01/24/13
Robert J.
This problem can be done lot simpler. The absolute change in x-direction is 5, and in y-direction is 12. By Pythagorean triple 5-12-13, the distance is 13.
01/24/13