Which shape can have sides with lengths that are all different?

To determine which shape can have sides with lengths that are all different, follow these steps:

1. Identify Common Shapes: Consider common geometric shapes such as triangles, quadrilaterals, pentagons, etc.

2. Analyze Side Lengths:

   • Triangle: A triangle can have three sides of different lengths. This type of triangle is called a scalene triangle.
   • Quadrilateral: A quadrilateral can also have four sides of different lengths. An example is a general quadrilateral with no equal sides.
   • Pentagon and Higher Polygons: Similarly, a pentagon or any higher polygon can have all sides of different lengths.

3. Conclusion: The simplest shape that can have all sides of different lengths is a scalene triangle. However, other polygons like quadrilaterals, pentagons, etc., can also have sides of different lengths.

Therefore, a triangle, specifically a scalene triangle, is a shape that can have sides with lengths that are all different.