Answer:
3.6 cm
Step-by-step explanation:
We need to use a theorem called Power of Points.
Essentially, given two intersecting chords on a circle, where the chords are broken up into a and b on one segment and c and d on the other, we have the relation:
a * b = c * d
See attachment.
Here, we can say that a = x, b = 5, c = 6, and d = 3. Then:
ab = cd
x * 5 = 6 * 3
5x = 18
Divide by 5 from both sides:
x = 18/5 = 3.6
The answer is thus 3.6 cm.
~ an aesthetics lover
