Two squares, one triangle

The square ABCD is a unit square.  Next to it is square BEFG.  I am interested in the triangle AFC.


What is its area?
Why is this a surprising question?
What happens if square BEFG is smaller than ABCD?

There is an interactive version of this image at https://ggbm.at/BphKr2mG

Comments

  1. It will be half the area of the smaller square which is 0.5

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