EmerlynnW243928 EmerlynnW243928

25-10-2022
Mathematics

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in the diagram of BED below, FC||ED,BF=6,FE=18, and BC=22. What is the length of BD

in the diagram of BED below FCEDBF6FE18 and BC22 What is the length of BD class=

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RenataR629659 RenataR629659

25-10-2022

we know that

The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally

so

18/6=DC/11

solve for DC

DC=3*11

DC=33

Find the length of BD

BD=BC+DC

BD=11+33=44 units

therefore

the answer is 44 units

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