P pliz New member Joined Jan 28, 2010 Messages 1 Jan 28, 2010 #1 in the accompanying diagram of circle O,chords AB and CD intersect at E. If AE=3,EB=4,CE=x, and ED=x-4,what is the value of x ?
in the accompanying diagram of circle O,chords AB and CD intersect at E. If AE=3,EB=4,CE=x, and ED=x-4,what is the value of x ?
M masters Full Member Joined Mar 30, 2007 Messages 378 Jan 28, 2010 #2 pliz said: in the accompanying diagram of circle O,chords AB and CD intersect at E. If AE=3,EB=4,CE=x, and ED=x-4,what is the value of x ? Click to expand... Hi pliz, You should have studied the relationship of the lengths of two intersecting chords in a circle. When two chords intersect each other inside a circle, the products of their segments are equal. \(\displaystyle CE \cdot ED= AE \cdot EB\) Thus, \(\displaystyle x(x-4)=3 \cdot 4\)
pliz said: in the accompanying diagram of circle O,chords AB and CD intersect at E. If AE=3,EB=4,CE=x, and ED=x-4,what is the value of x ? Click to expand... Hi pliz, You should have studied the relationship of the lengths of two intersecting chords in a circle. When two chords intersect each other inside a circle, the products of their segments are equal. \(\displaystyle CE \cdot ED= AE \cdot EB\) Thus, \(\displaystyle x(x-4)=3 \cdot 4\)
