SOLUTION: In a circle O, chords AB and CD intersect at E (not center). AE = X, EB = X+1, CE = X-1 and ED = 2X. Find AE.

Algebra ->  Circles -> SOLUTION: In a circle O, chords AB and CD intersect at E (not center). AE = X, EB = X+1, CE = X-1 and ED = 2X. Find AE.      Log On


   

Question 33776: In a circle O, chords AB and CD intersect at E (not center).
AE = X, EB = X+1, CE = X-1 and ED = 2X.
Find AE.
Answer by venugopalramana(3286) About Me  (Show Source):
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In a circle O, chords AB and CD intersect at E (not center).
AE = X, EB = X+1, CE = X-1 and ED = 2X.
Find AE.
IN A CYCLIC QUADRILATERAL,WE HAVE
AE*EB=CE*ED
X(X+1)=(X-1)2X
X+1=2X-2
2X-X=1+2=3
X=3
SO..
AE=X=3