The triangle with edge lengths 3, 4, and 5 is the right triangle with smallest possible integer lengths and corresponds to the Pythagorean triple where the legs have lengths 3 and 4 and the hypotenuse length 5. It satisfies the Pythagorean theorem since
(1)
It has inradius
(2)
Triangle line picking for points picked at random in a 3, 4, 5 triangle gives a mean line segment length of
(E. W. Weisstein, Aug. 6-9, 2010; OEIS A180307).
See alsoPythagorean Theorem,
Pythagorean Triple,
Right Triangle,
Triangle Line Picking Explore with Wolfram|Alpha ReferencesSloane, N. J. A. Sequence A180307 in "The On-Line Encyclopedia of Integer Sequences." Referenced on Wolfram|Alpha3, 4, 5 Triangle Cite this as:Weisstein, Eric W. "3, 4, 5 Triangle." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/345Triangle.html
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