For a point inside an equilateral triangle , the sum of the perpendiculars from to the sides of the triangle is equal to the altitude . This result is simply proved as follows,
(1)
|
With the side length,
(2)
|
so
(3)
|
For a point inside an equilateral triangle , the sum of the perpendiculars from to the sides of the triangle is equal to the altitude . This result is simply proved as follows,
(1)
|
With the side length,
(2)
|
so
(3)
|
Weisstein, Eric W. "Viviani's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/VivianisTheorem.html