The values that are not possible lengths for segments AC and CD,
is 12 and 13
Option D is correct
Chords in a circle :
when two chords intersects in a circle , then the product of the length of segments of the chords are equal
Product of chords
From the given circle , the product of the measure of the segments are equal
[tex]AC \cdot CD= BC \cdot CE[/tex]
In circle R, BC = 5 and CE = 12
Substitute the values inside the formula.
[tex]AC \cdot CD= BC \cdot CE\\AC \cdot CD= 5 \cdot 12\\AC \cdot CD= 60[/tex]
Now we look at the options and see which one gives the product 60
[tex]6 \cdot 10=60\\3 \cdot 20=60\\4 \cdot 15= 60\\12 \cdot 13= 156[/tex]
The values that are not possible lengths for segments AC and CD,
is 12 and 13 because the product is 156 not 60.
Learn more about 'intersecting chords' here:
brainly.com/question/26641259
