# Needs proof

[mathematics

]
Every triangle has a line through it that simultaneously divides its area and its perimeter each in half. (Why?) For an isosceles triangle that special line is its line of symmetry. Where is that special line for a 3-4-5 right triangle?

Every triangle has a line through it that simultaneously divides its area and its perimeter each in half. (Why?) For an isosceles triangle that special line is its line of symmetry. Where is that special line for a 3-4-5 right triangle? pic.twitter.com/PxJjas8JIB

— James Tanton (@jamestanton) January 26, 2019

Among its replies was this one,

— GS (@gurudov) January 28, 2019