ratio of matching vs adjacent sides in triangles



This is an investigation as to whether the ratio of adjacent sides in a triangle affect the ratio of matching sides. However, I realised that in picking my adjacent sides, I chose them in such a way that they were in fact matching adjacent sides. That is to say, in the triangles above, if the triangles are similar (i.e. h/f = i/g), then by rearranging the fraction, I would get g/f = i/h which turn out to be adjacent sides. Which of course, in a triangle, they are going to be. Hopefully that makes sense.