Question: Illustrating when an area is minimal

Hi,

I am trying to correct this question for my students, but I would like to include a pedagogical graphical illustration to support the idea that, for the area of triangle BCS to be minimal, the height (SM) — where M is the midpoint of [BC]— must be perpendicular to the plane Π at point S.

The code provided in the appendix does not clearly convey this idea.

Any ideas or suggestions would be very welcome.

Thanks

bac23IllustrationEspace.mw

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