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In the given figure, a circle centred at origin O has radius 7 cm, OC is median of $\Delta OAB$. Find the length of median OC.
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$\angle AOB = 90^\circ$
$\therefore AB^2 = 7^2 +7^2$
$\Rightarrow AB = 7\sqrt{2}$ cm
$\Rightarrow AC = \frac{7\sqrt{2}}{2}$ cm
Now In $\Delta AOC$,
$OC^2 = 7^2 - (\frac{7\sqrt{2}}{2})^2$
$\therefore OC = \frac{7\sqrt{2}}{2}$ cm
$\therefore AB^2 = 7^2 +7^2$
$\Rightarrow AB = 7\sqrt{2}$ cm
$\Rightarrow AC = \frac{7\sqrt{2}}{2}$ cm
Now In $\Delta AOC$,
$OC^2 = 7^2 - (\frac{7\sqrt{2}}{2})^2$
$\therefore OC = \frac{7\sqrt{2}}{2}$ cm