1. The problem asks if there is a way to solve geometry problems without using similar triangles. 2. Similar triangles are often used because they allow us to find unknown lengths or angles by comparing ratios. 3. However, alternative methods include using the Pythagorean theorem, trigonometry (sine, cosine, tangent), coordinate geometry, or vector methods. 4. For example, if you know the coordinates of points, you can calculate distances and slopes without relying on similarity. 5. Trigonometry can solve for unknown sides or angles in right or non-right triangles using laws like the Law of Sines or Law of Cosines. 6. In summary, yes, you can avoid similar triangles by applying other geometric or algebraic tools depending on the problem context.