IMC Key Stage 3 · 7. Area, length and Pythagoras
Find lengths with Pythagoras and special right triangles, compare areas through common heights and parallel lines, and move pieces to turn hard figures into right triangles.
IMC Key Stage 3 – Selected topics
Use Pythagoras, its converse and the special right triangles to find lengths.
Compare triangle areas using a common height or base and set up equations for unknown areas.
Use parallel lines and common parts to prove areas equal.
Translate segments to straighten a path and use Pythagoras twice.