Tangram and Areas

If we assign the value [color=#0000ff]1 unit[/color] to the side length of the Tangram piece shaped as a square, you can calculate the lengths of the sides of all the other Tangram pieces.[br][br]In the app below, click the sides of the Tangram pieces to view their measures, then calculate the areas of each piece and answer the questions below the app.
What is the relationship between the area of the big triangle and the area of the medium triangle?
Which pieces of the Tangram have the same area?
What is the relationship between the area of the medium triangle and the area of the small triangle?
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Information: Tangram and Areas