JAMB - Mathematics (2023 - No. 67)
Find the value of x in the diagram above
10 units
15 units
5 units
20 units
Explicação
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