8 Fig. 8 shows a right-angled triangle with base \(2 x + 1\), height \(h\) and hypotenuse \(3 x\).
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{c55e1f96-670a-4bc3-9e77-92d28769b7f5-2_317_593_1653_543}
\captionsetup{labelformat=empty}
\caption{Not to scale}
\end{figure}
Fig. 8
- Show that \(h ^ { 2 } = 5 x ^ { 2 } - 4 x - 1\).
- Given that \(h = \sqrt { 7 }\), find the value of \(x\), giving your answer in surd form.