## PythagorasYou see here four congruent right-angled triangles with sides a, b and
hypotenuse c.
- What is the area
of the square built by these four triangles (including the small square in
the middle)? Make a sketch of the situation and write down your solution
on paper.
- Now drag the blue
point counter-clockwise as far as possible. What is the area of the
small red and the big blue square? Again, make a sketch of the situation
and write down your solutions on paper.
- Do you see any connection between the areas in task (1) and (2)? Write down your conjectures.
Markus Hohenwarter, created with GeoGebra |