Question

In the given figure, a circle centred at origin O has radius 7 cm, OC is median of ΔOAB. Find the length of median OC. 

Answer 1

In ΔOAB

As, OA = OB equal radii

∠OBA = ∠OAB = 45° 

Now, In triangle OCB

sin B = `(OC)/(OB)`

sin 45° = `(OC)/(7)`

`1/sqrt2 = (OC)/7`

∴ OC = `7/sqrt2`

= `(7sqrt2)/2` cm