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:
maths topics: