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A Near Diophantine Octagon Problem (Posted on 2007-04-22) Difficulty: 3 of 5
The cyclic octagon ABCDEFGH has the sides a√2, a√2, a√2, a√2, b, b, b and b respectively in that order. Each of a, b and r are positive integers, where r is the radius of the circumcircle.

Analytically determine:

(i) The minimum value of a with a < b

(ii) The minimum value of b with a > b

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Question re: Solution | Comment 4 of 10 |
(In reply to Solution by Brian Smith)

I like your analysis for getting the (b/2,a+b/2,r) right triangle. How did you determine analytically which PT to map to this right triangle to answer (i) and (ii)?
  Posted by Bractals on 2007-04-23 13:47:11

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