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2019 AMC 10AProblem 7P1-10~3 minPrint
Coordinate GeometryTriangles: Area & PythagoreanSet up the equation/formula and compute; no special trick needed

Two lines with slopes 12\dfrac{1}{2} and 22 intersect at (2,2)(2,2) . What is the area of the triangle enclosed by these two lines and the line x+y=10?x+y=10 ?

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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.