Solve AC=sqrt{10^2+10^2}

$$A C = \sqrt { 10 ^ { 2 } + 10 ^ { 2 } }$$

Solve for A

$$A=\frac{10\sqrt{2}}{C}$$

$$C\neq 0$$

Steps for Solving Linear Equation

Calculate 10 to the power of 2 and get 100.

$$AC=\sqrt{100+10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$AC=\sqrt{100+100}$$

Add 100 and 100 to get 200.

$$AC=\sqrt{200}$$

Factor 200=10^{2}\times 2. Rewrite the square root of the product \sqrt{10^{2}\times 2} as the product of square roots \sqrt{10^{2}}\sqrt{2}. Take the square root of 10^{2}.

$$AC=10\sqrt{2}$$

The equation is in standard form.

$$CA=10\sqrt{2}$$

Divide both sides by C.

$$\frac{CA}{C}=\frac{10\sqrt{2}}{C}$$

Dividing by C undoes the multiplication by C.

$$A=\frac{10\sqrt{2}}{C}$$

Solve for C

$$C=\frac{10\sqrt{2}}{A}$$

$$A\neq 0$$

Steps for Solving Linear Equation

Calculate 10 to the power of 2 and get 100.

$$AC=\sqrt{100+10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$AC=\sqrt{100+100}$$

Add 100 and 100 to get 200.

$$AC=\sqrt{200}$$

Factor 200=10^{2}\times 2. Rewrite the square root of the product \sqrt{10^{2}\times 2} as the product of square roots \sqrt{10^{2}}\sqrt{2}. Take the square root of 10^{2}.

$$AC=10\sqrt{2}$$

Divide both sides by A.

$$\frac{AC}{A}=\frac{10\sqrt{2}}{A}$$

Dividing by A undoes the multiplication by A.

$$C=\frac{10\sqrt{2}}{A}$$