7. The figure shows a circle centered at point B with a diameter AC and chord CE. The diameter of the circle is 5√2 units, and the length of chord CE is 5 units. The figure is not drawn to scale. A E C Suppose that BD 1 CE so that x is the minimum distance from the center of the circle to the chord. Find the distance x and the measure of AE. X= units mAE= B X D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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7. The figure shows a circle centered at point B with
a diameter AC and chord CE. The diameter of the
circle is 5√2 units, and the length of chord CE is
5 units. The figure is not drawn to scale.
E
B
Suppose that BDI CE so that x is the minimum
distance from the center of the circle to the chord.
Find the distance x and the measure of AE.
X=
units
mAE=
186 | The Geometry of Circles
=
210
ng
angles
as 53°
perpe
Find
X =
Transcribed Image Text:7. The figure shows a circle centered at point B with a diameter AC and chord CE. The diameter of the circle is 5√2 units, and the length of chord CE is 5 units. The figure is not drawn to scale. E B Suppose that BDI CE so that x is the minimum distance from the center of the circle to the chord. Find the distance x and the measure of AE. X= units mAE= 186 | The Geometry of Circles = 210 ng angles as 53° perpe Find X =
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