11. Thales understood similar triangles and right triangles, and what is more, used that knowledge in practical ways. 12. With the stick method if the stick is not held vertically, the similar triangle will be malformed. 13. From similar triangles in Figure 6, the magnification also relates the image and object distances, so that 14. Note that since this ratio is independent of time, one can take arbitrary times and achieve similar triangles . 15. We can generate the full equivalence class of similar triangles that satisfy B = 3A by using the formulas 16. If only the angles are given, the side lengths cannot be determined, because any similar triangle is a solution. 17. This was then " mapped " onto the angle to be trisected, with a simple proof of similar triangles . 18. The principle of operation of such a scale hypsometer is based on the idea of similar triangles in geometry. 19. In Mac OS X list views, a similar triangle appears right in the header of the column you've sorted on. 20. Once the wedge reaches a critical taper, it will maintain that geometry and grow only into a larger similar triangle .