Basic cosine rule application

A question is this type if and only if it requires finding a side or angle in a triangle using the cosine rule with straightforward given information (three sides, or two sides and the included angle).

6 questions · Moderate -0.9

1.05b Sine and cosine rules: including ambiguous case
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OCR MEI C2 Q8
5 marks Easy -1.2
8 In the triangle \(\mathrm { ABC } , \mathrm { AB } = 5 \mathrm {~cm} , \mathrm { AC } = 6 \mathrm {~cm}\) and angle \(\mathrm { BAC } = 110 ^ { \circ }\).
Find the length of the side BC .
OCR MEI Paper 3 2018 June Q1
3 marks Easy -1.2
1 Triangle ABC is shown in Fig. 1. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{31bc8bde-8d37-4e97-94e2-e3e73aab55e9-4_451_565_520_744} \captionsetup{labelformat=empty} \caption{Fig. 1}
\end{figure} Find the perimeter of triangle ABC .
AQA AS Paper 2 2021 June Q5
4 marks Easy -1.2
5
  1. Using the cosine rule, find the length of \(A C\).
    5
  2. Hence, state the length of \(A D\).
OCR MEI C2 2013 January Q7
5 marks Moderate -0.3
Fig. 7 shows a sketch of a village green ABC which is bounded by three straight roads. AB = 92 m, BC = 75 m and AC = 105 m. \includegraphics{figure_7} Calculate the area of the village green. [5]
OCR MEI C2 2014 June Q5
3 marks Moderate -0.8
\includegraphics{figure_5} Fig. 5 shows triangle ABC, where angle ABC = \(72°\), AB = \(5.9\) cm and BC = \(8.5\) cm. Calculate the length of AC. [3]
OCR MEI C2 Q2
5 marks Moderate -0.8
\includegraphics{figure_3} For triangle ABC shown in Fig. 4, calculate
  1. the length of BC, [3]
  2. the area of triangle ABC. [2]