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2015 AMC 10AProblem 19P16-20~6 minPrint
Triangles: Area & PythagoreanTriangle Centers & CeviansTrigonometryAdd construction lines/points (drop altitudes, extend segments, connect centers)Exploit symmetry to reduce work or pair up objects

The isosceles right triangle ABCABC has right angle at CC and area 12.512.5 . The rays trisecting ∠ACB\angle ACB intersect ABAB at DD and EE . What is the area of △CDE\bigtriangleup CDE ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.