Introduction to Scale
Lecture no. 24 from the course: Geometry: An Interactive Journey to Mastery
Taught by Professor James Tanton | 30 min | Categories: The Great Courses Plus Online Mathematics Courses
If you double the side-lengths of a shape, what happens to its area? If the shape is three-dimensional, what happens to its volume? In this lecture, you explore the concept of scale. You use this idea to re-derive one of our fundamental assumptions of geometry, the Pythagorean theorem, using the areas of any shape drawn on the edges of the right triangle—not just squares.