Find the Distance Between Two Points (3,4) , (9,12)

$(3, 4) (9, 12)$

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.

$\sqrt{{(9 - 3)}^{2} + {(12 - 4)}^{2}}$

Simplify.

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Subtract $3$ from $9$ .

$\sqrt{6^{2} + {(12 - 4)}^{2}}$

Raise $6$ to the power of $2$ .

$\sqrt{36 + {(12 - 4)}^{2}}$

Subtract $4$ from $12$ .

$\sqrt{36 + 8^{2}}$

Raise $8$ to the power of $2$ .

$\sqrt{36 + 64}$

Add $36$ and $64$ .

$\sqrt{100}$

Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2}}$

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

$10$

Find the Distance Between Two Points (3,4) , (9,12)

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