Chord circle

The circle to the (S, r = 8 cm) are different points A, B connected segment /AB/ = 12 cm. AB mark the middle of S'. Calculate |SS'|. Make the sketch.

Correct answer:

x =  5.2915 cm

Step-by-step explanation:

$$\begin{gathered} r=8\text{cm} \\ a=12\text{cm} \\ {r}^2=(a/2{)}^2+x^2 \\ x=\sqrt{r^2-(a/2{)}^2}=\sqrt{8^2-(12/2{)}^2}=2\sqrt{7}=5.2915\text{cm} \end{gathered}$$

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