[tex]a) \ h = 3\\\\\frac{a\sqrt{3}}{2} = 3 \ \ /\cdot\frac{2}{\sqrt{3}}\\\\a = \frac{6}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{2}}=\frac{6\sqrt{3}}{3}\\\\\underline{a = 2\sqrt{3}}[/tex]
[tex]b) \ h = \sqrt{2}\\\\\frac{a\sqrt{3}}{2} = \sqrt{2} \ \ /\cdot\frac{2}{\sqrt{3}}\\\\a = \frac{2\sqrt{2}}{\sqrt{3}} \cdot\frac{\sqrt{3}}{\sqrt{3}}=\frac{2\sqrt{2\cdot3}}{3}\\\\\underline{a = \frac{2\sqrt{6}}{3}}[/tex]
[tex]c) \ h = 7\sqrt{3}\\\\\frac{a\sqrt{3}}{2} = 7\sqrt{3} \ \ /\cdot\frac{2}{\sqrt{3}}\\\\\underline{a = 14}[/tex]
