Question 46

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waecmaths question: 

In the diagram $\left| XY \right|=12cm,\left| XZ \right|=9cm,\left| ZN \right|=3cm$ and $\left| ZY \right|=$ calculate $\left| MY \right|$ 

Option A: 

3cm

Option B: 

4cm

Option C: 

5cm

Option D: 

6cm

waecmaths solution: 

$\begin{align}  & \text{Using similar triangles} \\ & \frac{\left| XZ \right|}{\left| XY \right|}=\frac{\left| XZ+ZN \right|}{\left| XY+MY \right|} \\ & \frac{9}{12}=\frac{9+3}{12+\left| MY \right|} \\ & 12+\left| MY \right|=\frac{12\times 12}{9} \\ & 12+\left| MY \right|=16 \\ & \left| MY \right|=4 \\\end{align}$

maths year: