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.

Here are two different solutions found
using Geometer's Sketchpad:

    (a,b,c) = (11.319,15.022,13.144)

    (a,b,c) = (18.776,13.036,14.604)

     a = |BC|,  b = |AC|,  c = |AB|.

I am working on an algebraic solution.

Posted by Bractals on 2012-05-21 02:08:59