+0

0
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Points A, B, C, D, E, and F lie, in that order, on $$\overline {AF}$$, dividing it into five segments, each of length 1. Point G is not on the line through A and F. Point H lies on $$\overline {GD}$$, and point J lies on $$\overline {GF}$$. The line segments $$\overline {HC}$$$$\overline {JE}$$, and $$\overline {AG}$$ are parallel. Find $$\displaystyle\frac{HC}{JE}$$.

Oct 4, 2021

#1
0

By similar triangles, HC/JE = 7/5.

Oct 4, 2021
#2
+1696
+2

∠GAF = ∠HCD = ∠JEF = 45º

HC = √2

JE = √72 / 10

HC / JE = 5/3

Oct 5, 2021
edited by civonamzuk  Oct 5, 2021