Intersecting Triangles

Geometry Level 4

Diagram above shows a circle with center DD, with C,E,FC,E,F be points lying on the circle, and two right triangles ACDACD and BCEBCE with their hypotenuse intersect at FF. If we are given AC=CD=10 cmAC = CD = 10 \text{ cm} . What is the area of triangle ABFABF to 4 decimal places.

Details and Assumptions

  • You may use the approximation: 2=1.41421356 \sqrt 2 = 1.41421356
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