# 26c. Construct a Triangle Given the Length of Its Base, the Angle Opposite the Base and the Length of That Angle's Bisector

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This Demonstration constructs a triangle given the length of its base , the angle at the point , and the length of the angle bisector at . The Demonstration uses the conchoid of Nicomedes, which is shown in red.

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Contributed by: Izidor Hafner (October 2017)

Open content licensed under CC BY-NC-SA

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## Details

The base of a conchoid is a straight line . Let (the pole of the conchoid) be a point not on the base such that the distance of from is . Let be a ray from not parallel to the base. The ray intersects the base at a point . Measure out points and on the ray so that , where is a positive number. The conchoid determined by the base, the pole and is the set of all such points and .

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