28. Construct a Triangle ABC Given the Length of AB, the Sum of the Other Two Sides, and a Line Containing C
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This Demonstration shows how to construct a triangle given the length
of the side opposite the vertex
, the sum of the lengths of the other two sides
and a line
containing the vertex
. Since
lies on the ellipse with foci
and
, the semi-axes of the ellipse are
and
.
Contributed by: Marko Razpet and Izidor Hafner (March 2018)
Open content licensed under CC BY-NC-SA
Snapshots
Details
This construction is suggested by the linear transformation , which maps the ellipse
and the line
into the circle
and the line
.
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