Question

the chords intersect at point u. what is the value of y? 2 4 6 8

Explanation:

Step1: Apply chord - chord product theorem

When two chords intersect inside a circle, the products of the lengths of the segments of the chords are equal. So, we have \(8\times y=4\times12\).

Step2: Solve for \(y\)

First, simplify the right - hand side of the equation: \(4\times12 = 48\). Then, the equation becomes \(8y=48\). Divide both sides by 8: \(y=\frac{48}{8}=6\).

Answer:

6