Triangle Side Length Inequality
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Three lines of given length can possibly form a triangle. If the sum of any two lengths is greater than the third length, a triangle can be formed. This is the case whenever the gray circles intersect.
Contributed by: Tom De Vries (March 2011)
Open content licensed under CC BY-NC-SA
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"Triangle Side Length Inequality"
http://demonstrations.wolfram.com/TriangleSideLengthInequality/
Wolfram Demonstrations Project
Published: March 7 2011