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Viviani's Theorem
Let ABC be an equilateral triangle and let P be a point inside ABC. Draw perpendiculars PA', PB', and PC' from P to the sides of ABC. Because ABC is equilateral, the altitudes all have the same length; call that
. Then PA' + PB' + PC' =
.
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Contributed by:
Jay Warendorff
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Viviani's Theorem
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MathWorld
)
PERMANENT CITATION
"
Viviani's Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/VivianisTheorem/
Contributed by:
Jay Warendorff
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