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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

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
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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

User Frodeborli
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7.2k points

1 Answer

4 votes
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
User Harshal Zope
by
8.2k points
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