Question

10.7 special segments in circles.pdf
1.

Explanation:

Step1: Apply the intersecting chords theorem

If two chords intersect in a circle, then the products of the lengths of their segments are equal. So, \(3\times x = 6\times7\).

Step2: Solve for \(x\)

From \(3x=42\), divide both sides by 3. \(x=\frac{42}{3}\).

Answer:

\(x = 14\)