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Given: ABC and ADC are two right triangles with common hypotenuse AC.
To prove :
Proof :
Triangle ABC and ADC are on common base BC and
BAC = 
BDC.
Thus, point A,B,C,D lie in the same circle.
(If a line segment joining two points subtends equal angles at two other points lying on the same side of line containing line segment, four points lie on the circle.)