**Q) In the given figure, a circle centered at origin O has radius 7 cm, OC is median of Δ OAB. Find the length of median OC.**

**Ans: **

**Step 1:** In the given circle, OA and OB are the radii of the same circle and they intersect at 90 degrees (coordinates)

Δ AOB, by Pythagoras theorem, AB =

= = 7√2

**Step 2:** Since OC is median of Δ AOB and perpendicular on AB, hence by triangle property, it will bisect AB

∴ AC = BC =

Step 3: In Δ OAC, OC^{2} = OA^{2} – AC^{2}

∴ OC^{2} = 7^{2} –

∴ OC =

**∴ OC = **

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