Question

Please help! If the two triangles are similar, which equation represents the value of side x?

Answer 1

$x=\frac{p q}{m}$ 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.

$\Rightarrow \frac{m}{p} =\frac{q}{x}$

Do cross multiplication.

$\Rightarrow mx=pq$

Divide by m on both sides.

$\Rightarrow \frac{mx}{m} =\frac{pq}{m}$

$\Rightarrow x =\frac{pq}{m}$

Therefore, $x=\frac{p q}{m}$ equation represents the value of side x.