SimReal: Mathematics - Geometry - Pythagoras - Info

Pythagoras' theorem for right triangles:

a² + b² = c²

The simulation/visualization shows Pythagoras' theorem for right triangles.
The figure shows three squares with areas:
a² (red)
b² (blue)
c² (grey)

By the help of two scrollbars the first two squares (red and blue) are moved and changed without changing the areas. In the end the two squares are changed to two rectangles that together fit the third square (grey).

Here we change the red square in a way so the area all time is the same a².
It's important here to use the simulation in a way so that you really understand why the area is unchanged.

Here we have finished the movement of the red square and changed it to a rectangle with area a². We have also started changing the blue square in the same way as the red square.

Now the two squares (red and blue) are changed to two rectangles with areas a² and b².
Together they fit into the third square with area c².

Exercises:

We can generate an unlimited number of right triangles By the help of a protractor and a calculator we can measure/compute sides and angles.

Measured and/or computed data can be put into a form. If we want we can have a control and feedback of these data.