ash3110 ash3110

29-08-2021
Mathematics

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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.

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 class=

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bermatematikacom bermatematikacom

29-08-2021

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]

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