Find the Distance Between Two Points (80,55) , (20,44)

$(80, 55)$ , $(20, 44)$

Step 1

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

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

Step 2

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

$\sqrt{{(20 - 80)}^{2} + {(44 - 55)}^{2}}$

Step 3

Simplify.

Subtract $80$ from $20$ .

$\sqrt{{(- 60)}^{2} + {(44 - 55)}^{2}}$

Raise $- 60$ to the power of $2$ .

$\sqrt{3600 + {(44 - 55)}^{2}}$

Subtract $55$ from $44$ .

$\sqrt{3600 + {(- 11)}^{2}}$

Raise $- 11$ to the power of $2$ .

$\sqrt{3600 + 121}$

Add $3600$ and $121$ .

$\sqrt{3721}$

Rewrite $3721$ as $61^{2}$ .

$\sqrt{61^{2}}$

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

$61$

Step 4