[tex]x=\frac{p q}{m}[/tex] equation represents the value of side x.
Solution:
The two triangles are similar.
If two triangles are similar, then the corresponding sides are in proportional.
[tex]$\Rightarrow \frac{m}{p} =\frac{q}{x}[/tex]
Do cross multiplication.
[tex]$\Rightarrow mx=pq[/tex]
Divide by m on both sides.
[tex]$\Rightarrow \frac{mx}{m} =\frac{pq}{m}[/tex]
[tex]$\Rightarrow x =\frac{pq}{m}[/tex]
Therefore, [tex]x=\frac{p q}{m}[/tex] equation represents the value of side x.
