A piece of paper has the precise shape of a triangle (which we will denote by triangle ABC), where the respective lengths of the crease whenever the paper is folded such that; the vertex A is joined onto vertex B, the vertex A is joined onto vertex C and, the vertex B is joined onto vertex C are 7, 8 and 9.

Determine the lengths AB, AC and BC.

(In reply to re: 6 solutions (unverified) Only 4 Work by Jer)

I checked your two other solutions with Geometer's Sketchpad and they work. These four are the only solutions.

Posted by Bractals on 2012-05-22 18:40:38