Question

The lengths of portions of two intersecting chords are given.8122IWhat is the value of x?2346

Answer 1

The diagram in the question is an example of two intersecting chords. The length of the unknown portion can be gotten by applying the intersecting chord theorem.

The Intersecting Chord Theorem states that the products of the lengths of the line segments on each chord are equal.

Following this theorem, we have that

`12*2=8* x`

Solving, we can get the value of x to be

`\begin{gathered} 24=8x \\ x=(24)/(8) \\ x=3 \end{gathered}`

The correct option is the SECOND OPTION (3).