### Question Description

Two chords of a circle intersect. The point of intersection divides the first chord into two segments of length 5 cm and 8 cm and divides the second chord into two segments, one which has length 4 cm. How long is the second chord?

## Explanation & Answer

When two chords intersect each other inside a circle, the products of their segments are equal.

Let the length of unknown segment of the second chord be x.

So,

5*8 = 4*x

40 = 4x

4x = 40

x = 40/4

**x = 10 cm**

**Length of the second chord = 4 + x = 4 + 10 = 14 cm**