What is the relationship between the areas of the seven shapes of the jigsaw puzzle between them

Area of largest triangle = area of (square + parallelogram)

Area of square = area of triangle #2 = area of twice the area of smaller triangle

Expanded:

1, Tangrams is an ancient traditional Chinese intellectual toy, which, as the name suggests, is made up of seven boards.

2, these seven boards can be put together into many shapes (more than 1600 kinds), such as: triangles, parallelograms, irregular polygons, the player can also put it together into a variety of characters, images, animals, bridges, houses, towers and so on, but also some Chinese and English letters.

3, tangram is an invention of the ancient Chinese working people, whose history can be traced back to at least the first century B.C., and was basically finalized in the Ming Dynasty.

4, the Ming and Qing dynasties in China's folk widely circulated, the Qing Lu to _ "Cold Lodge Miscellany" Volume I wrote: recent and seven trick map, its style five, the number of seven, the change of the style of more than a thousand. The body is like a shape, with the hands of change, cover the game of tools, enough to row boredom broken silence, so the world are happy for.

5, in the 18th century, tangrams spread abroad. Joseph Lee said that it is one of the oldest pastimes in the East, and to this day there is a "new score of tangrams" in the library of the University of Cambridge in the United Kingdom.