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Given that segments AE = 4 in, DE = 12 in, and EF = 8 in. What is the measure of segment EB? A. 6 in. B. 16 in. C. 24 in. D. 4 in.
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Given that segments AE = 4 in, DE = 12 in, and EF = 8 in. What is the measure of segment EB? A. 6 in. B. 16 in. C. 24 in. D. 4 in.
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Dec 15, 2019
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Given that segments AE = 4 in, DE = 12 in, and EF = 8 in.
What is the measure of segment EB?
A. 6 in.
B. 16 in.
C. 24 in.
D. 4 in.
Mathematics
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Kenwen
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Kenwen
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we know that
When two chords intersect each other inside a circle, the products of their segments are equal
(Intersecting Chord Theorem)
so
AE*EB=DE*EF-----> EB=DE*EF/AE
AE=4 in
DE=12 in
EF=8 in
EB=?
EB=DE*EF/AE
EB=12*8/4-----> EB=24 in
Mingjiang Shi
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Dec 21, 2019
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Mingjiang Shi
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