Posted by **jen** on Monday, November 15, 2010 at 2:45am.

Please imagine a triangle here. >.< the 'o' is a person and the two peaks are the mountains.

/\___/\

_\___/

___o

Explain why the distance between these two peaks are greater than the difference of the distances from the person to each peak.

- Geometry -
**MathMate**, Monday, November 15, 2010 at 9:04am
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.

- Geometry -
**jen**, Tuesday, November 16, 2010 at 4:34am
Thanks MathMate.

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