Find the Distance Between Two Points (11,0) , (11,12)

$(11, 0)$ , $(11, 12)$

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.

$\sqrt{{(11 - 11)}^{2} + {(12 - 0)}^{2}}$

Simplify.

Subtract $11$ from $11$ .

$\sqrt{0^{2} + {(12 - 0)}^{2}}$

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

$\sqrt{0 + {(12 - 0)}^{2}}$

Subtract $0$ from $12$ .

$\sqrt{0 + 12^{2}}$

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

$\sqrt{0 + 144}$

Add $0$ and $144$ .

$\sqrt{144}$

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

$\sqrt{12^{2}}$

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

$12$