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Euclidean 2Dmedium
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A landscape architect is designing a triangular stone patio. The vertices are positioned such that the distance between the first and second corner is 121212 meters, the second and third is 161616 meters, and the first and third is 202020 meters. If the architect wants to place a circular fountain at the exact location where the three angle bisectors of the triangle intersect, what is the distance from the center of the fountain to any of the sides of the triangle?