Question

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

Answer 1

`x=(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 (m)/(p) =(q)/(x)`

Do cross multiplication.

`$\Rightarrow mx=pq`

Divide by m on both sides.

`$\Rightarrow (mx)/(m) =(pq)/(m)`

`$\Rightarrow x =(pq)/(m)`

Therefore,
`x=(p q)/(m)` equation represents the value of side x.