Question

in the above diagram, chords ab and cd intersect at point e in circle o
if ae=8, eb=3, ce=x+1, and ed=x-1, find x.

Answer 1

use the cross-product -> \(\bf \overline{ae}\cdot \overline{eb}=\overline{ce}\cdot \overline{ed}\implies 8\cdot 3=(x+1)\cdot (x-1)\)