The conversation between human and AI assistant.
In a right-angle triangle, perpendicular is [math]\sqrt{3}[/math] times the base. What is ratio of their opposite angles?
That's interesting. Can you give me an example of when right-angle triangles are used in real life?
Sure. Right-angle triangles are commonly used in construction, engineering, and architecture. For example, builders may use right-angle triangles to make sure that structures are level and walls are perpendicular. Engineers may use them to calculate the stresses on bridge supports or other structures. Architects may use them to create visually interesting designs, such as staircases that follow a right-angle triangle pattern.