i

$z_1^2+z_2^2=z^2$

$x_1^2+x_2^2=1$

1

$3^2+4^2=5^2$

${\left(3/5\right)}^2+{\left(4/5\right)}^2=1$

2

$5^2+{12}^2={13}^2$

${\left(5/13\right)}^2+{\left(12/13\right)}^2=1$

3

$8^2+{15}^2={17}^2$

${\left(8/17\right)}^2+{\left(15/17\right)}^2=1$

4

$9^2+{40}^2={41}^2$

${\left(9/41\right)}^2+{\left(40/41\right)}^2=1$

5

${12}^2+{35}^2={37}^2$

${\left(12/37\right)}^2+{\left(35/37\right)}^2=1$

6

${13}^2+{84}^2={85}^2$

${\left(13/85\right)}^2+{\left(84/85\right)}^2=1$

7

${28}^2+{45}^2={53}^2$

${\left(28/53\right)}^2+{\left(45/53\right)}^2=1$

8

${36}^2+{77}^2={85}^2$

${\left(36/85\right)}^2+{\left(77/85\right)}^2=1$

9

${39}^2+{80}^2={89}^2$

${\left(39/89\right)}^2+{\left(80/89\right)}^2=1$

10

${20}^2+{99}^2={101}^2$

${\left(20/101\right)}^2+{\left(99/101\right)}^2=1$