Question 30

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waecmaths question: 

In the diagram, $UW\parallel YZ$, $\left| WX \right|=6cm$, $\left| XY \right|=16cm$, and $\left| ZX \right|=12cm$. Calculate $\left| VX \right|$

Option A: 

3cm

Option B: 

4cm

Option C: 

6cm

Option D: 

8cm

waecmaths solution: 

$\begin{align}  & \text{Using similiar triangles} \\ & \frac{\left| WX \right|}{\left| VX \right|}=\frac{\left| XZ \right|}{\left| XY \right|} \\ & \frac{6cm}{\left| VX \right|}=\frac{12cm}{16cm} \\ & \left| VX \right|=\frac{16cm\times 6cm}{12cm}=8cm \\\end{align}$

maths year: