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2017 AMC 10BProblem 8P1-10~2 minPrint
Coordinate GeometryTriangles: Area & PythagoreanSet up the equation/formula and compute; no special trick needed

Points A(11,9)A(11, 9) and B(2,−3)B(2, -3) are vertices of △ABC\triangle ABC with AB=ACAB=AC . The altitude from AA meets the opposite side at D(−1,3)D(-1, 3) . What are the coordinates of point CC ?

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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.