Find the Distance Between Two Points (2,1) , (14,1)

$(2, 1)$ , $(14, 1)$

Use the distance formula to determine the distance between the two points.

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Substitute the actual values of the points into the distance formula.

$\sqrt{{(14 - 2)}^{2} + {(1 - 1)}^{2}}$

Simplify.

Subtract $2$ from $14$ .

$\sqrt{12^{2} + {(1 - 1)}^{2}}$

Raise $12$ to the power of $2$ .

$\sqrt{144 + {(1 - 1)}^{2}}$

Subtract $1$ from $1$ .

$\sqrt{144 + 0^{2}}$

Raising $0$ to any positive power yields $0$ .

$\sqrt{144 + 0}$

Add $144$ and $0$ .

$\sqrt{144}$

Rewrite $144$ as $12^{2}$ .

$\sqrt{12^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$12$