A regular pentagon is inscribed in an ellipse with semi major axis 10 units. Then sum of all possible measures of the semi minor acis of the ellipse adds up to.
I don't exactly understand it. How to do?
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1If I get the problem correctly, you're expected to determine all possible positions of the pentagon inscribed in an ellipse with semi major axis measure $10$ and for each position find a semi minor axis length. Then sum semi minor axes lengths for all ellipses found. – CiaPan Dec 19 '17 at 16:10
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Of course this could only make sense if the number of possible semi-minor axis values is finite. – hardmath Dec 19 '17 at 16:46
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Five points determine a conic, so the "ellipse" is a circle.
ajotatxe
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Well, the minor axis and the major axis of a circle are equal. They are radii, really. So there is only one possible legth for the minor axis. – ajotatxe Dec 19 '17 at 16:01
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