Square, Triangle, And Semicircle Living In Harmony

Geometry Level 3

In the figure above:

  • The square ABCDABCD has area 12.25.

  • EE is the intersection of BDBD and the semicircle of diameter AD.AD.

  • CFCF is a segment drawn from CC and tangent to the semicircle at F.F.

Calculate the area of the triangle DEF.DEF. Give your answer to three decimal places.

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