![Pythagoras Proofs](/sites/default/files/styles/medium/public/thumbnails/content-id-6553-icon.png?itok=1XTSkx91)
Pythagoras' theorem
![Pythagoras Proofs](/sites/default/files/styles/medium/public/thumbnails/content-id-6553-icon.png?itok=1XTSkx91)
![Garden Shed](/sites/default/files/styles/medium/public/thumbnails/content-id-11190-icon.png?itok=1_kaF7QW)
![Kite in a Square](/sites/default/files/styles/medium/public/thumbnails/content-id-8301-icon.png?itok=k5PyV7gm)
problem
Kite in a Square
Can you make sense of the three methods to work out what fraction of the total area is shaded?
![Generating Triples](/sites/default/files/styles/medium/public/thumbnails/content-id-7282-icon.png?itok=rxebyRVc)
problem
Generating Triples
Sets of integers like 3, 4, 5 are called Pythagorean Triples, because they could be the lengths of the sides of a right-angled triangle. Can you find any more?
![Unusual Polygon](/sites/default/files/styles/medium/public/thumbnails/content-id-7168-icon.png?itok=ZJREnt4-)
![Folding in Half](/sites/default/files/styles/medium/public/thumbnails/content-id-7164-icon.png?itok=M5JuoHpA)
![Centre Square](/sites/default/files/styles/medium/public/thumbnails/content-id-7150-icon.png?itok=8oxRo1W8)
![Tetromino Diagonal](/sites/default/files/styles/medium/public/thumbnails/content-id-6767-icon.png?itok=DO2fp2zJ)
![Partly Circles](/sites/default/files/styles/medium/public/thumbnails/content-id-6323-icon.jpg?itok=w1vPfZnh)
problem
Partly Circles
What is the same and what is different about these circle
questions? What connections can you make?
![Rectangle Dissection](/sites/default/files/styles/medium/public/thumbnails/content-id-6228-icon.gif?itok=ZC-fXm4a)
problem
Rectangle Dissection
Weekly Problem 2 - 2009
The 16 by 9 rectangle is cut as shown. Rearrange the pieces to form a square. What is the perimeter of the square?
The 16 by 9 rectangle is cut as shown. Rearrange the pieces to form a square. What is the perimeter of the square?