If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.
2
Practice makes perfect
For the given circle we want to find the value of x.
Let's recall that if two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. In our diagram, two chords intersect in the interior of a circle. Therefore, the product of the lengths of the chord segments are equal.
4 * 4=8 * x
Let's solve the equation for x.
