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Triangular Crease 789 (Posted on 2012-05-20) Difficulty: 3 of 5
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.

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (2 votes)

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Some Thoughts Geometer's Sketchpad Solution | Comment 1 of 7

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
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