SPS SPS SM 2022 January — Question 3 3 marks

Exam BoardSPS
ModuleSPS SM (SPS SM)
Year2022
SessionJanuary
Marks3
TopicSine and Cosine Rules
TypeBasic cosine rule application
DifficultyModerate -0.8 This is a straightforward application of the cosine rule to find one missing side, then sum all three sides. Given two sides and the included angle, it requires direct formula substitution with minimal problem-solving. Simpler than average A-level questions which typically involve multiple steps or conceptual understanding.
Spec1.05b Sine and cosine rules: including ambiguous case

3. Triangle ABC is shown in Fig. 1. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{4eb48b49-816b-4a08-9f7f-c20313c4d1c9-06_517_652_237_845} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure} Find the perimeter of triangle ABC .
(3)
[0pt]

3. Triangle ABC is shown in Fig. 1.

\begin{figure}[h]
\begin{center}
  \includegraphics[alt={},max width=\textwidth]{4eb48b49-816b-4a08-9f7f-c20313c4d1c9-06_517_652_237_845}
\captionsetup{labelformat=empty}
\caption{Fig. 1}
\end{center}
\end{figure}

Find the perimeter of triangle ABC .\\
(3)\\[0pt]
\\

\hfill \mbox{\textit{SPS SPS SM 2022 Q3 [3]}}