I did't understand a part of your question.. "so that every two of the three new triangles could be joined and that when joined they would create an isosceles triangle?"
Please can you explain it with a picture or a diagram?
There is an isosceles triangle. From one apex of that triangle we need to draw two straight lines dividing our isosceles triangle into three triangles. How to draw those lines so that every two of the three new triangles could be joined and that when joined they would create an isosceles triangle?
I did't understand a part of your question.. "so that every two of the three new triangles could be joined and that when joined they would create an isosceles triangle?"
Please can you explain it with a picture or a diagram?