Find the value of x in the diagram above
Attached Figure / Diagram
A
10 units
B
15 units
C
5 units
D
20 units
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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)
⇒ 6\(x\) = 4\(x\) + 20
⇒ 6\(x\) - 4\(x\) = 20
⇒ 2\(x\) = 20
∴ \(x = \frac{20}{2}\) = 10 units
Source: WAEC / JAMB / NECO Classroom Archive (Record #67390)