Distance Formula

$$a^2\ +\ b^2\ =\ c^2$$

$$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2\ }-\ y_1\right)^2}$$

$$d\ =\ \sqrt{\left(4\ -\ 3\right)^2\ +\ \left(7\ -\ 1\right)2}$$

$$d\ =\ \sqrt{\left(7\ -\ 3\right)^2\ +\ \left(1\ -\ 4\right)^2}$$

$$d\ =\ \sqrt{\left(7\ -\ 4\right)^2\ +\ \left(1\ -\ 3\right)^2}$$

$$d\ =\ \sqrt{\left(3\ -\ 7\right)^2\ +\ \left(4\ -\ 1\right)^2}$$

$$d\ =\ \sqrt{\left(3\ +\ 7\right)^2\ -\ \left(4\ +\ 1\right)^2}$$

$$d\ =\ \sqrt{\left(4-2\right)^2\ -\ \left(0-2\right)^2}$$

$$d\ =\ \sqrt{\left(4-0\right)^2\ -\ \left(-2-2\right)^2}$$

$$d\ =\ \sqrt{\left(-2\ +0\right)^2\ +\ \left(4+2\right)^2}$$

$$d\ =\ \sqrt{\left(-2-2\right)^2\ +\ \left(4-0\right)^2}$$

$$\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}$$

$$\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}$$

$$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$$

$$\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}$$