Mathematics

Mathematics

Problem

An inscribed isosceles △has\triangle has one vertex at the positive end of the major axis (vertex AA) and the other two vertices (PP and P′P') on the ellipse. PP corresponds to a point QQ on the auxiliary circle with eccentric angle 120∘120^{\circ}. If the semi-major axis is 10 units10\,\text{units} and semi-minor is 6 units6\,\text{units}, find the area of this inscribed triangle.

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