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Image attached is the problem... thanks...
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Let O be the centre of the circle. Then
Since ΔAOC is isosceles,
And from
and
we have
Hence ΔBAT and ΔACT are similar.
Note that BT can cut the cricle above or below the centre O.
Last edited by JaneFairfax (2007-05-19 22:19:51)
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Thanks again Jane!
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A little birdie told me about: http://www.matematyka.org/forum/viewtopic.php?t=36307
"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman
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Haha! The equation in the second reply (third post) y[sup]2[/sup] + x[sup]2[/sup] = r[sup]2[/sup] + 12[sup]2[/sup] is wrong.
I forgot that a radius bisects a chord if and only if it is perpendicular to it. At least I discovered a pair of similar triangles in the setup.
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