Not your average shuriken

Geometry Level 5

A circle of diameter 1414 has two identical right triangles that are circumscribed around the two semicircles created by the line AB\overline { AB } cutting the circle in half.

If the short legs of the right triangles are 1111 as shown, the length of AB\overline { AB } can be written as ab\frac { a }{ b } , where aa and bb are co-prime integers. Find abab.

Try another geometry problem: "Star Stumper".
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