Finding perimeter of a similar triangle

[Guest]

In
△ABC, the bisectors of ∠B and ∠C intersect at I. A line drawn through I and parallel to BC intersects AB at P and AC at Q. If AB=12, BC=24 and CA=18, can we find the perimeter of triangle APQ?

[Guest]

Use similar triangles .
[tex]P_{APQ }[/tex] =30