1996 HSC Question 8c (1 Viewer)

[aoniumz]

http://prntscr.com/4fvye5

Help on this question please?

 

[aDimitri]

part i)
tangents from an external point are equal in length, answer follows very easily

part ii)
note that K, L, M are 3 points on the circle. the triangles KBL & LCM are isosceles, which means the angle bisectors are perpendicular bisectors of the base lines KL & LM. from the circle property that perpendicular bisectors of chords pass through the center of the circle (not sure if i need to prove this), it follows that the point of intersection X is the center of the circle.

part iii)
not too sure how to approach this one

 

[Drongoski]

I have figured out a way for (iii) not using the result of part (b).
Without a diagram (don't know how to), too unwieldy to post.

 

[aoniumz]

Could you please show me your answer to (III)?
Possibly write it down and take a photo?