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In the diagram below, FG is parallel to CD. If the length of C D is the same as the
length of FE, CE = 17, and FG = 6, find the length of FE. Figures are not
necessarily drawn to scale. State your answer in simplest radical

In the diagram below FG is parallel to CD If the length of C D is the same as the length of FE CE 17 and FG 6 find the length of FE Figures are not necessarily class=

Respuesta :

Answer: sqrt(102)

Step-by-step explanation:

We know that triangles GFE and DCE are similar by AA.

If we let CD=FE=x, then we can set up a proportion. Namely,

CE/FE = CD/FG

17/x = x/6

x^2 = 102 -> x=sqrt(102)