Andrew Stacey @mathforge.org · Aug 4 For some reason, linking directly to an image doesn't fetch a preview of that image. That's annoying. Anyway, here's the image for that puzzle. #mathsky #geometrypuzzles
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I've had another look at this. Given your algebraic solution, that the area = 4 = 2², then we must be able to show that the 'houses' fit on the two (red) squares on the sides of your green right-angled triangle with hypotenuse 2:
What do we Know? How can we use the properties of a circle? What mathematical relations do we know?