Minimum Perimeter of an Inscribed Triangle
For any acute triangle ABC, consruct any inscribed
triangle DEF such that D lies on BC, E lies on AC, and F lies
on AB.
Click here for a GSP sketch
of an inscribed triangle as picture above.
Is there a unique inscribed triangle with the minimum
perimeter?
What if the triangle ABC was a right triangle?
an obtuse triangle?
Hint?
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