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 an

Question

sukhopar [10]

3 years ago

15

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 an

d DG

Mathematics

1 answer:

xeze [42] · Answer 1 · 2022-07-25T03:53:02+03:00

xeze [42]3 years ago

3 0

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