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Find the length of segment DF then find the length of segment EF

Find the length of segment DF then find the length of segment EF-example-1
User Junmats
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1 Answer

21 votes
21 votes

Finding the length of segment DF,

then find the length of segment EF​

Using the similar triangles,

Triangle ABC = Triangle DEF

AB / DE = AC / DF = BC / EF

2 / 1 . 34 = 4 / DF = 3 / EF

Solving 2 / 1 . 34 = 4 / DF

cross - multiply, we have:

2 X DF = 4 X 1. 34

2 DF = 5. 36

DF = 5 . 36 / 2

DF = 2 .68

Solving 2 / 1 . 34 = 3 / EF

cross - multiply, we have:

2 x EF = 3 X 1. 34

2 EF = 4 .02

EF = 4. 02 / 2

EF = 2. 01

User Kheema Pandey
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3.0k points