Question

Given: PQ ||BC (PQ parallel to BC). Find the length of AQ.A. 11B. 12C. 18D. 9

Answer 1

Since PQ and BC are parallel, we have the following:

That is to say, triangles APQ and ABC are similar. Since they are similar, their sides are proportinal. We can then see this relation in the following equation:

`(12+6)/(6)=(18+x)/(x)`

Where x is the lenght of AQ. We know rearrange the equation

`(18)/(6)=(18+x)/(x)`
`3=(18+x)/(x)`
`3x=18+x`
`2x=18`
`x=9`

And so, the lenght of AQ is 9