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Challenge 341: Triangle Teaser
Here’s a result about the sides of a triangle with perimeter 2 for you to prove.
A triangle with sides of length a, b and c has perimeter 2.
Show that ab + bc + ca > abc + 1 for all such triangles.
Here’s a result about the sides of a triangle with perimeter 2 for you to prove.
A triangle with sides of length a, b and c has perimeter 2.
Show that ab + bc + ca > abc + 1 for all such triangles.