Question 1 [6] Given: \[ \begin{array}{l}\mathrm{AB}=4,9 \mathrm{~cm}, \mathrm{AD} \\ \mathrm{AC}=5,4 \mathrm{~cm}, \mathrm{~A} \\ \mathrm{CB}=2,3 \mathrm{~cm}, \mathrm{E}]\end{array} \] 1.1 Complete the similar triang

It appears that the problem statement you've provided is incomplete or may have formatting issues, especially with the LaTeX code. To assist you effectively, could you please provide the complete problem statement or clarify the missing parts? Specifically, it would be helpful to have: 1. A clear description of the geometric figure involved (e.g., the triangles, points, and how they are related). 2. Any additional given measurements or relationships between the elements of the figure. 3. The full text of question 1.1, especially the part after "complete the similar triang...". With this information, I can help you work through the problem step by step. If you're trying to complete a similar triangles problem, here's a general approach you can follow once the details are clear: ### Steps to Complete a Similar Triangles Problem: 1. **Identify the Triangles:** Determine which triangles in the figure are similar based on given information or geometric properties (e.g., AA similarity criterion). 2. **Set Up Proportions:** Once similarity is established, set up proportions between corresponding sides of the triangles. For example, if triangles \( \triangle ABC \) and \( \triangle DEF \) are similar, then: \[ \frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF} \] 3. **Solve for the Unknowns:** Use the proportions to solve for any missing side lengths or other required measurements. 4. **Verify the Solution:** Ensure that the calculated values make sense in the context of the problem and satisfy the conditions of similarity. ### Example: Suppose you have two similar triangles \( \triangle ABC \) and \( \triangle DEF \), with the following known sides: - \( AB = 4.9 \) cm - \( AC = 5.4 \) cm - \( CB = 2.3 \) cm - You need to find \( AD \), which corresponds to \( DE \) in the similar triangle. **Step 1:** Establish the similarity ratio. \[ \frac{AB}{DE} = \frac{AC}{DF} = \frac{BC}{EF} \] **Step 2:** If \( AD \) corresponds to \( DE \), set up the proportion: \[ \frac{AB}{AD} = \frac{AC}{DF} \] **Step 3:** Plug in the known values and solve for \( AD \). **Step 4:** Verify the solution with the given measurements. Please provide the complete problem statement or any additional information, and I'll be happy to help you further!