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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.

Given that segments AE = 4 in, DE = 12 in, and EF = 8 in. What is the measure of segment-example-1
User Kenwen
by
6.1k points

1 Answer

6 votes
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
User Mingjiang Shi
by
6.8k points
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