IB myp 4-5 MATHEMATICS – Practice Questions- All Topics
Topic :Trigonometry–Pythagoras’ theorem
Topic :Trigonometry- Weightage : 21 %
All Questions for Topic : Triangle properties,Bearings,Pythagoras’ theorem,Trigonometric ratios in right angled triangles
Question (3 marks)
In this task you will investigate sides and perimeters of trapeziums.
Show that the diagonal of the trapezium is 5 units.
▶️Answer/Explanation
Ans:
$\begin{gathered}3^2+4^2 \\ \sqrt{25}\Rightarrow 5\end{gathered}$
Question (2 Marks)
In the diagram below, angles $\rm {A B C, A C D}$ and $\rm{A D E}$ are $90^{\circ}$. The lengths $A B, B C$, and $D E$ are $9 \mathrm{~cm}, 12 \mathrm{~cm}$ and $20 \mathrm{~cm}$ respectively.
Find the length of $\rm{AC}$
▶️Answer/Explanation
Ans:
Using Pythagoras in $\triangle \rm{ABC}$
$\rm{AC}^2=12^2+9^2\Rightarrow 225$
$\rm{AC}=\rm{5 ~cm}$