Edexcel C2 2011 January — Question 2 6 marks

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2011
SessionJanuary
Marks6
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicSine and Cosine Rules
TypeSequential triangle calculations (basic)
DifficultyModerate -0.8 This is a straightforward two-part question requiring direct application of the cosine rule to find an angle, then the standard area formula. Both are routine calculations with no problem-solving or conceptual challenges, making it easier than average but not trivial since it requires correct formula selection and calculator work.
Spec1.05b Sine and cosine rules: including ambiguous case1.05c Area of triangle: using 1/2 ab sin(C)

2. In the triangle \(A B C , A B = 11 \mathrm {~cm} , B C = 7 \mathrm {~cm}\) and \(C A = 8 \mathrm {~cm}\).
  1. Find the size of angle \(C\), giving your answer in radians to 3 significant figures.
  2. Find the area of triangle \(A B C\), giving your answer in \(\mathrm { cm } ^ { 2 }\) to 3 significant figures.

Question 2:
AnswerMarks
2-12
2.1-15.08
2.2-17.92
2.3-20.52
2.4-22.88
2.5-25
Question 2:
2 | -12
2.1 | -15.08
2.2 | -17.92
2.3 | -20.52
2.4 | -22.88
2.5 | -25
2. In the triangle $A B C , A B = 11 \mathrm {~cm} , B C = 7 \mathrm {~cm}$ and $C A = 8 \mathrm {~cm}$.
\begin{enumerate}[label=(\alph*)]
\item Find the size of angle $C$, giving your answer in radians to 3 significant figures.
\item Find the area of triangle $A B C$, giving your answer in $\mathrm { cm } ^ { 2 }$ to 3 significant figures.
\end{enumerate}

\hfill \mbox{\textit{Edexcel C2 2011 Q2 [6]}}