March 20th, 2018, 11:04 AM  #1 
Banned Camp Joined: Dec 2017 From: Tel Aviv Posts: 87 Thanks: 3  triangle inequality
I don't understand the 4 rules of materic in Wikipedia in the address: https://en.wikipedia.org/wiki/Metric_(mathematics) In the definition section. How I can understand the triangle inequality of metric? 
March 20th, 2018, 12:09 PM  #2 
Senior Member Joined: Aug 2012 Posts: 1,960 Thanks: 547 
The distance from Tel Aviv to Haifa is less than (the distance from Tel Aviv to Ashdod plus the distance from Ashdod to Haifa). It's a triangle. The straight line between two points is shorter than going to an intermediate point first and then from the intermediate point to the destination. The triangle inequality is just an abstraction of this common sense idea. 

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