An online activity to help students reason visually about the Pythagorean
Theorem.
John Golden's: homepage and javasketchpad page . This proof features 8 copies of a right triangle, arranged to make two large squares apparently of equal area. It was found on a Chinese tablet over 2000 years ago. Note there's one spot in the animation where a triangle leaps out of the square. I don't know why either!
- Where are a, b and c in this picture?
- How does this picture illustrate the Pythagorean Theorem?
- What mathematical information does the animation show?
- Write algebraically what the left side of the picture demonstrates.
- Write algebraically what the right side of the picture demonstrates.
- Can your answers to (4) and (5) be put together to make an algebraic proof?
The original Sketchpad file: pythagoreanchin.gsp
This page uses JavaSketchpad, a World-Wide-Web component of
The Geometer's Sketchpad.
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Pythagoreanchinese |