2 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]{a3414ad8-7959-49f8-b43d-3972b2c03642-1_316_590_631_582}
\captionsetup{labelformat=empty}
\caption{Fig. 8}
\end{figure}
Not to scale
- 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.