Trigonometry Examples

$\sqrt{{(0 - 30)}^{2} + {(- 70 - 0)}^{2}}$

Step 1

Subtract $30$ from $0$ .

$\sqrt{{(- 30)}^{2} + {(- 70 - 0)}^{2}}$

Step 2

Raise $- 30$ to the power of $2$ .

$\sqrt{900 + {(- 70 - 0)}^{2}}$

Step 3

Subtract $0$ from $- 70$ .

$\sqrt{900 + {(- 70)}^{2}}$

Step 4

Raise $- 70$ to the power of $2$ .

$\sqrt{900 + 4900}$

Step 5

Add $900$ and $4900$ .

$\sqrt{5800}$

Step 6

Rewrite $5800$ as $10^{2} \cdot 58$ .

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Step 6.1

Factor $100$ out of $5800$ .

$\sqrt{100 (58)}$

Step 6.2

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

$\sqrt{10^{2} \cdot 58}$

$\sqrt{10^{2} \cdot 58}$

Step 7

Pull terms out from under the radical.

$10 \sqrt{58}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$10 \sqrt{58}$

Decimal Form:

$76.15773105 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$