What method represents three-dimensional objects on a plane with only length and breadth?

The method that accurately represents three-dimensional objects on a plane with only length and breadth is orthographic projection. This technique is fundamental in engineering and design because it allows for detailed and accurate representations of an object from various perspectives, typically including the top, front, and side views. Each view is drawn to scale, ensuring that dimensions are consistent and can be accurately interpreted without any distortion that can occur in other projection methods.

Orthographic projection is particularly useful because it eliminates ambiguity in the representation of complex shapes, allowing engineers and designers to convey precise dimensions and relationships between different components of a design. This clarity is vital for manufacturing and assembly processes, where accuracy is crucial.

In contrast, isometric projection combines length, breadth, and depth but may not accurately represent two-dimensional planes distinctly. Perspective sketches depict objects as perceived by the eye, incorporating depth and typically leading to distortion, which can complicate measurement. Technical drawings, while they can involve orthographic views, refer more broadly to any formal drawing in engineering, rather than specifically delineating a method to eliminate depth in favor of two-dimensional representation.