Question

Triangles SLB and DOG are similar with <S=<D and <L =<O. If SL, LB and SB are 3,4,5 respectively and DO=5 find OG and DG

Answer 1

All the side measures of ΔDOG will have the same relationship to their corresponding ΔSLB measures that DO has to SL.

OG/LB = DO/SL
OG/4 = 5/3
OG = 20/3

DG/SB = DO/SL
DG/5 = 5/3
DG = 25/3

In summary,
  OG = 20/3 = 6 2/3
  DG = 25/3 = 8 1/3