Solve 100/H=frac{sqrt{3}}{2}

$$\frac { 100 } { H } = \frac { \sqrt { 3 } } { 2 }$$

Solve for H

$$H = \frac{200 \sqrt{3}}{3} \approx 115.470053838$$

Steps for Solving Linear Equation

Variable H cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2H, the least common multiple of H,2.

$$2\times 100=H\sqrt{3}$$

Multiply 2 and 100 to get 200.

$$200=H\sqrt{3}$$

Swap sides so that all variable terms are on the left hand side.

$$H\sqrt{3}=200$$

The equation is in standard form.

$$\sqrt{3}H=200$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}H}{\sqrt{3}}=\frac{200}{\sqrt{3}}$$

Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.

$$H=\frac{200}{\sqrt{3}}$$

Divide 200 by \sqrt{3}.

$$H=\frac{200\sqrt{3}}{3}$$