How is geometry used in carpentry?
Geometry is used in carpentry because most houses are a combination of different shapes, rectangles and squares for walls and floors, ceilings and roof planes – triangles for roof structures. The pythagorean theorem is used both to figure the length of the different components (rafters, collar ties, etc.) of the roof structure and also to maintain square corners when laying out floors, walls, etc.
In roofs, you can use geometry to find out how tall you can make the roof depending on what area it has to cover. For walls, it helps to make your walls parallel and of equal strength. Basically probably the best example of geometry applied is carpentry. Carpenters use it like instinct all the time.