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Problem on its own (Posted on 2017-03-05) Difficulty: 3 of 5
Take a triangle, ABC, and an arbitrary point, D, in its interior.
How can we prove that AD + DB < AC + CB?

The fact seems obvious, but when the problem is presented on its own, outside of a textbook or some course of study, we have no hint as to what technique to use to prove it.
Construct an equation?
Apply the Pythagorean theorem?

I trust the flooblers to find a formal proof...

No Solution Yet Submitted by Ady TZIDON    
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