However, if you found the perpendicular to be \( \sqrt{6.75…

chryptof ·

However, if you found the perpendicular to be \( \sqrt{6.75} \), let's verify:
\[ \left(\frac{3\sqrt{3}}{2}\right)^2 = \frac{9 \times 3}{4} = \frac{27}{4} \]
\[ \sqrt{\frac{27}{4}} = \sqrt{6.75} \]