Isosceles Trapezoid Proof
An isosceles trapezoid has points A,B,C, and D where AD and BC are parallel. Prove that any isosceles trapezoid can be inscribed in a circle. Do this by finding a unique point 0 which is equidistant from points A,B,C, and D. Write a proof on how to construct this circle.
Note: Sides AB, BC, and CD have length 1 and side AD has length square root of 3.
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Re: Isosceles Trapezoid Proof
Draw a perpendicular bisector of the sides 
and 
mark their point of intersection as 
. Now is equidistant from 
and 
. With as the center and radius 
( 
) draw a circle this circle passes through and . This will also pass through 
. As quadrilateral ABCD is cyclic.
.
(Refer to the figure attached).
Kalyan.
