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

(In reply to re(6): Solution by Brian Smith)

Remember the two contraints on my expression:

0 < a < r

0 < b < r*sqrt(2)

Posted by Bractals on 2007-04-26 13:43:02