# Legs of Pythagorean Triangle used as Generator for another Pythagorean Triangle/Examples

### $3-4-5$ Triangle
The $3-4-5$ triangle has hypotenuse $5$.
By Solutions of Pythagorean Equation, the Pythagorean triangle $P_2$ formed by the generator $\left({4, 3}\right)$ is:
 $\displaystyle P_2$ $=$ $\displaystyle \tuple {2 \times 4 \times 3, 4^2 - 3^2, 4^2 + 3^2}$ $\displaystyle$ $=$ $\displaystyle \tuple {24, 7, 25}$
It is observed that $25 = 5^2$.