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OpenStudy (anonymous):
I need help understanding the triangle inequality. Especially using algebra to prove it. Can someone explain it to me?
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OpenStudy (anonymous):
The triangle inequality simply states that the shortest path between any two points is a straight line :-)
OpenStudy (anonymous):
the third leg of any triangle must be less than or equal to the sum of the other 2 legs. otherwise, it's not a triangle. thta's where it originates from.
OpenStudy (anonymous):
|dw:1375309054009:dw|
OpenStudy (anonymous):
The idea is that the length of this straight path \(AB\) is smaller than a "jointed" path with another vertex; observe:|dw:1375309157290:dw|
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