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2000 AMC 10Problem 7P1-10~3 minPrint
Triangles: Area & PythagoreanAngles & PolygonsSet up the equation/formula and compute; no special trick needed

In rectangle ABCDABCD , AD=1AD=1 , PP is on AB‾\overline{AB} , and DB‾\overline{DB} and DP‾\overline{DP} trisect ∠ADC\angle ADC . What is the perimeter of △BDP\triangle BDP ?

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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.