Area of a rhombus from its circumradius of two triangles
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ABCD is a rhombus.
The radii of the circles circumscribing triangles ABD and ACD are 12.5 and 25.
It means that the diameters of the circles circumscribing triangles ABD and ACD are 25 (BD) and 50 (AC), respectively. That means the diagonals are BD = 25 and AC =50.
The area of the rhombus, ABCD = BD*AC/2 = 25*50/2 = 625 sq units.
The radii of the circles circumscribing triangles ABD and ACD are 12.5 and 25.
It means that the diameters of the circles circumscribing triangles ABD and ACD are 25 (BD) and 50 (AC), respectively. That means the diagonals are BD = 25 and AC =50.
The area of the rhombus, ABCD = BD*AC/2 = 25*50/2 = 625 sq units.
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