Notes

Pythagorean Triples are right triangles with whole number sides. They satisfy \(a^2+b^2=c^2\)

\(3, 4, 5\)
\(5, 12, 13\)
\(7, 24, 25\)
\(8, 15, 17\)
\(9, 40, 41\)
\(11, 60, 61\)
\(12, 35, 37\)
\(13, 84, 85\)
\(15, 112, 113\)
\(16, 63, 65\)
and there are many more…

You can create even more triples by multiplying all the numbers by the same constant.
\(3, 4, 5\)
\(3(2), 4(2), 5(2) \to 6, 8, 10\)
\(3(3), 4(3), 5(3) \to 9, 12, 15\)
\(3(4), 4(4), 5(4) \to 12, 16, 20\)
and you can keep going…

These can be used as shortcuts on many math problems!

 

See Related Pages\(\)

\(\bullet\text{ Geometry Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)

\(\bullet\text{ Pythagorean Theorem}\)
\(\,\,\,\,\,\,\,\,a^2+b^2=c^2\)…

\(\bullet\text{ Special Right Triangles (30-60-90 and 45-45-90)}\)
\(\,\,\,\,\,\,\,\,\) \(…\)