35. Construct a Triangle Given the Angle Opposite Its Base and the Sum and Product of the Two Other Sides
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This Demonstration shows how to construct a triangle given the angle opposite the side , the sum of the lengths of the other two sides and their product . The numbers and satisfy the quadratic equation . The problem is solved graphically using Carlyle's circle.
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Contributed by: Izidor Hafner and Marko Razpet (September 2018)
Open content licensed under CC BY-NC-SA
Details
This task is posed as problem 471 in [1].
Reference
[1] L. H. von Holleben and P. Gerwien, Aufgaben-Systeme und Sammlungen aus der Ebenen Geometrie: Aufgaben, Vols. I and II, Berlin: G. Reimer, 1831 and 1832.
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