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Right Triangle inscribed in a circle

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Source: — Problem Solving |
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by gmat740 » Sun Aug 09, 2009 9:34 pm
Yes always :D
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by tohellandback » Sun Aug 09, 2009 9:50 pm
jus a little proof:

lets assume that the hypotenuse in not always the diameter and we will later contradict this.
see the image
let line CD is the hypotenuse and angle COD=90
let AB is the diameter, so we know that angle AOB is 90
as you can see
both the angles AOB and angle COD can be equal only when AB=CD
so that contradicts our assumption.
May be not the exact prrof u were looking for, but still..
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The powers of two are bloody impolite!!
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by madhur_ahuja » Sun Aug 09, 2009 10:03 pm
Thanks a lot.

Can anyone point me to some resource summarizing such theorems. Especially related to cicrumscribed and inscribed circles.

Madhur
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