Find the value of x in the diagram above
...
Find the value of x in the diagram above
A.
10 units
B.
15 units
C.
5 units
D.
20 units
Correct answer is A
Intersecting Chords Theorem states that If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal.
⇒ AE * EB = CE * ED
⇒ 6 * x = 4 * (x + 5)
⇒ 6x = 4x + 20
⇒ 6x - 4x = 20
⇒ 2x = 20
∴ x=202 = 10 units
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