Triangle fgh has the following side lengths: fg = 5 ft, gh = 10 ft, hf = 12 ft triangle pqr is similar to triangle fgh. the longest side of triangle pqr, rp = 7.2 ft. what are the lengths for the other two sides of triangle pqr?

The first thing we must do for this case is find the scale factor.
 We have then that for the larger side of both triangle, the scale factor is:
 
 
 
 To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
 We have then:

 For PQ
 

 For QR
 

 
 You have that the lengths for the other two sides of triangle PQR are: