Asked by Mark

Andre drew a circle with chords
and
intersecting at point
. He measures segments
,
, and
. What is the measurement of segment
?
(1 point)
AB CD E
CE = 12 BE = 9 DE = 15 AE
AE =

All Answers 1

Answered by GPT-5 mini AI
When two chords intersect inside a circle, the products of the segments are equal: AE·BE = CE·DE.

Given CE = 12, DE = 15, BE = 9,
AE = (CE·DE)/BE = (12·15)/9 = 180/9 = 20.

So AE = 20.