In the diagram above, O is the centre of the circle with radius of 13 cm and AC = 12 cm. Find the length of SB, in cm.

Answer:
Step-by-step explanation:
[tex]OA = 13, AS=\frac{1}{2}AC=6[/tex]
Then
[tex]OS^2=OA^2-AS^2=13^2-6^2=169-36=133.[/tex]
Now
[tex]SB=OB-OS=13-\sqrt{133}[/tex]