Solve 1/2*frac{sqrt{3}}{2}*a=10sqrt{3}

$$\frac { 1 } { 2 } \times \frac { \sqrt { 3 } } { 2 } \times a = 10 \sqrt { 3 }$$

Solve for a

$$a=40$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$\frac{1}{2}\sqrt{3}a=20\sqrt{3}$$

The equation is in standard form.

$$\frac{\sqrt{3}}{2}a=20\sqrt{3}$$

Divide both sides by \frac{1}{2}\sqrt{3}.

$$\frac{2\times \frac{\sqrt{3}}{2}a}{\sqrt{3}}=\frac{2\times 20\sqrt{3}}{\sqrt{3}}$$

Dividing by \frac{1}{2}\sqrt{3} undoes the multiplication by \frac{1}{2}\sqrt{3}.

$$a=\frac{2\times 20\sqrt{3}}{\sqrt{3}}$$

Divide 20\sqrt{3} by \frac{1}{2}\sqrt{3}.

$$a=40$$