t The Geometers sketchpad Untitled 1 File Edit Display Const

t The Geometer\'s sketchpad [Untitled 1] File Edit Display Construct Transform Measure Number Graph Window Help AF 2 GD 3 GC 4 EG 9 FG B I U ew Roman 24 Click to stop editing text 10:26 PM 5/3/2017

Solution

These are based on Internal intersection of secants:

Lets take Secants CE and AD , which intersect at G.

By the theorem AG x GD = EG x GC.

Therefore AG x 3 = 9 x 4 or AG = 12

FG = AG - AF = 12-2 = 10

Therefore FG = 10