In the diagram, BC⎯⎯⎯⎯⎯∥DE⎯⎯⎯⎯⎯ . What is CE ? Enter your answer in the box. ft

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Answer 1 · 2018-01-20T08:18:57

Length of #color(green)(CE = 1)#

Given : AD = 8’, DB = 2’, AE = 4’, BC // DE#

Since BC // DE, Triangles ABC & ADE are similar.

#:.# #(AB)/(AD) = (AC)/(AE) = (BC)/(DE)# Eqn (1)

#AB = AD + DB = 8 + 2 = 10’#

Similarly, #AC = AE + EC = 4 + EC#

Substituting in Eqn (1),

#8 / 10 = 4 / (4 + EC)#

#4 + EC = (10*4)/8 = 5#

#EC = 5 - 4 = 1#