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Find the lenghts of segments

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Find the length of each segment DE, EF and DF

DE = 2x + 4

EF = 3x - 1

Graph_of_the_stright_line

geometry
straight-line
length

asked Nov 4, 2013 in GEOMETRY by johnkelly Apprentice

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1 Answer

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Given : DE = 2x + 4 and EF = 3x - 1.

E is the mid point of DF.

DE = EF

2x + 4 = 3x - 1

3x - 2x = 4 + 1

x = 5.

If, x = 5, then DE = 2x + 4 = 2(5) + 4 = 10 + 4 = 14.

EF = 3x - 1 = 3(5) - 1 = 15 - 1 = 14.

DF = DE + EF = 14 + 14 = 28.

answered Aug 22, 2014 by lilly Expert

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