Trigonometry Examples

$(1, 5)$ , $(6, - 3)$

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.

$\sqrt{{(6 - 1)}^{2} + {((- 3) - 5)}^{2}}$

Step 3

Simplify.

Tap for more steps...

Step 3.1

Subtract $1$ from $6$ .

$\sqrt{5^{2} + {((- 3) - 5)}^{2}}$

Step 3.2

Raise $5$ to the power of $2$ .

$\sqrt{25 + {((- 3) - 5)}^{2}}$

Step 3.3

Subtract $5$ from $- 3$ .

$\sqrt{25 + {(- 8)}^{2}}$

Step 3.4

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

$\sqrt{25 + 64}$

Step 3.5

Add $25$ and $64$ .

$\sqrt{89}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{89}$

Decimal Form:

$9.43398113 \dots$

Step 5