Legs of Pythagorean Triangle used as Generator for another Pythagorean Triangle/Examples
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Examples of Legs of Pythagorean Triangle used as Generator for another Pythagorean Triangle
$3-4-5$ Triangle
The $3-4-5$ triangle has hypotenuse $5$.
By Solutions of Pythagorean Equation, the Pythagorean triangle $P_2$ formed by the generator $\tuple {4, 3}$ is:
\(\ds P_2\) | \(=\) | \(\ds \tuple {2 \times 4 \times 3, 4^2 - 3^2, 4^2 + 3^2}\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds \tuple {24, 7, 25}\) |
It is observed that $25 = 5^2$.