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, OC² = OA² – AC²

∴ OC² = 7² –

∴ OC =

∴ OC =

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