Question

In the following figure, chord MN and chord RS intersect at point D. If RD = 15, DS = 4, and MD = 8, find DN.

Answer 1

Given: RD = 15, DS = 4, MD = 8

Using the Intersecting Chords Theorem,

MD × DN = RD × DS

Substituting values,

8 × DN = 15 × 4

8 × DN = 60

Let’s solve for DN:

DN = `60/8`

DN = `15/2`  ...[Divide by 4]

∴ DN = 7.5