Inscribed Quadrilateral - Got a little farther.

thousandthpapercrane said:
And not answered.
Click to expand...
Follow-ups are best posted within the original thread. Reposts are frequently ignored.

Thank you.

Eliz.
 
thousandthpapercrane said:
I decided to give this problem another whack, and I got a little farther than last time. But I'm still stuck... By the way, thanks for the help on the other two! <3

http://www.maj.com/gallery/thousandthpa ... f/math.bmp
Click to expand...

If two chords intersect in a circle, then the product of the segments of one of the chords is equal to the product of the segments of the other chord.

Based on your diagram, HJ and LO are two chords which intersect at K.

So, HK*KJ = LK*KO

You know that KJ= 33. You know that LK = 24. You know that the diameter of the circle, LO, is 60.

Ok...

HK * KJ = LK * KO

HK * 33 = 24*(60 - 24)

Can you finish it now?
 
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