Triangle area calculation

A question is this type if and only if it requires finding the area of a triangle using the formula ½ab sin C, given two sides and the included angle or derivable from other given information.

9 questions · Moderate -0.7

1.05c Area of triangle: using 1/2 ab sin(C)
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OCR C2 Q3
5 marks Moderate -0.3
3. The sides of a triangle have lengths of \(7 \mathrm {~cm} , 8 \mathrm {~cm}\) and 10 cm . Find the area of the triangle correct to 3 significant figures.
OCR MEI C2 Q5
5 marks Moderate -0.8
5 Fig. 7 shows a sketch of a village green ABC which is bounded by three straight roads. \(\mathrm { AB } = 92 \mathrm {~m}\), \(\mathrm { BC } = 75 \mathrm {~m}\) and \(\mathrm { AC } = 105 \mathrm {~m}\). Fig. 7 Calculate the area of the village green.
OCR MEI AS Paper 2 2019 June Q2
2 marks Moderate -0.8
2 Fig. 2 shows a triangle with one angle of \(117 ^ { \circ }\) given. The lengths are given in centimetres. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{11e5167f-9f95-4494-9b66-b59fdce8b1ef-3_300_791_589_244} \captionsetup{labelformat=empty} \caption{Fig. 2}
\end{figure} Calculate the area of the triangle, giving your answer correct to 3 significant figures.
OCR MEI AS Paper 2 2023 June Q10
5 marks Moderate -0.8
10 In this question you must show detailed reasoning.
The diagram shows triangle ABC , where \(\mathrm { AB } = 3.9 \mathrm {~cm} , \mathrm { BC } = 4.5 \mathrm {~cm}\) and \(\mathrm { AC } = 3.5 \mathrm {~cm}\). Determine the area of triangle ABC .
OCR MEI AS Paper 2 Specimen Q5
6 marks Moderate -0.3
5 A triangular field has sides of length \(100 \mathrm {~m} , 120 \mathrm {~m}\) and 135 m .
  1. Find the area of the field.
  2. Explain why it would not be reasonable to expect your answer in (a) to be accurate to the nearest square metre.
OCR MEI Paper 2 2020 November Q1
2 marks Moderate -0.8
1 Fig. 1 shows triangle \(A B C\). Fig. 1 Calculate the area of triangle \(A B C\), giving your answer correct to 3 significant figures.
Edexcel C2 Q2
6 marks Moderate -0.3
2. The sides of a triangle have lengths of \(7 \mathrm {~cm} , 8 \mathrm {~cm}\) and 10 cm . Find the area of the triangle correct to 3 significant figures.
OCR H240/03 2020 November Q1
2 marks Easy -1.8
Triangle \(ABC\) has \(AB = 8.5\) cm, \(BC = 6.2\) cm and angle \(B = 35°\). Calculate the area of the triangle. [2]
WJEC Unit 1 2024 June Q5
4 marks Moderate -0.5
A triangle \(ABC\) has sides \(AB = 6\)cm, \(BC = 11\)cm and \(AC = 13\)cm. Calculate the area of the triangle. [4]