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3, 4, 5 Triangle -- from Wolfram MathWorld

  • ️Weisstein, Eric W.
  • ️Tue Aug 03 2010
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3,4,5Triangle

The triangle with edge lengths 3, 4, and 5 is the right triangle with smallest possible integer lengths and corresponds to the Pythagorean triple (3,4,5) where the legs have lengths 3 and 4 and the hypotenuse length 5. It satisfies the Pythagorean theorem since

3^2+4^2=5^2.

(1)

It has inradius

r=1.

(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 also

Pythagorean Theorem, Pythagorean Triple, Right Triangle, Triangle Line Picking

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References

Sloane, N. J. A. Sequence A180307 in "The On-Line Encyclopedia of Integer Sequences."

Cite this as:

Weisstein, Eric W. "3, 4, 5 Triangle." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/345Triangle.html

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