Posted by jen on Monday, November 15, 2010 at 2:45am.
In any non-degenerate triangle, the sum of any two sides is always greater than the third side.
Let A,B represent the two peaks, and C the person.
From the first statement, we can conclude that AB+BC>AC, or equivalently AB>AC-BC, which translates to the distance between the two mountains is greater than the difference between the distances from the person to the mountains.
Thanks MathMate.
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