Cross to Isosceles Triangle Dissection

Move the Size slider to change the size of the cross and move the slider $latex \alpha$ to the extreme right to transform the figure. 
 

The applet above is an example of a dissection puzzle. A dissection puzzle, also called a transformation puzzle tiling puzzle where a set of pieces can be assembled in different ways to produce two or more distinct geometric shapes (Wikipedia).
 
The cross to isosceles triangle dissection puzzle above was created by Henry Dudeney in 1897.

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