1. Let's analyze the first triangle with the numbers 5, 8, 9, 9, 6, and 12 on its segments. 2. We can check if these segments satisfy the triangle inequality or if they represent a specific property like lengths or sums. 3. For the second triangle, with numbers 25, 26, 2, 3, and 4, we'll do a similar analysis. 4. For the first triangle, if we consider the three main sides possibly being 5, 8, and 9, we check: $5+8>9$, $5+9>8$, $8+9>5$. Since all are true, these can be valid side lengths. 5. Similar logic applies to the second triangle with sides 25, 26, and 2; however, $25 + 2 = 27 > 26$, $26 + 2 = 28 > 25$, and $25 + 26 = 51 > 2$, so these could be valid sides. 6. Without specific instructions on what to calculate (e.g., perimeter, area), we conclude the triangles can exist with these sides. Final answer: Both triangles have sets of segment lengths that can create valid triangles according to the triangle inequality.