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integer sides of triangle wanted, give circumradius and area (Chile 2006 L2 p2)

Source:

May 30, 2019
geometryIntegercircumradiusarea

Problem Statement

In a triangle ABC \vartriangle ABC with sides integer numbers, it is known that the radius of the circumcircle circumscribed to ABC \vartriangle ABC measures 658 \dfrac {65} {8} centimeters and the area is 8484 cm². Determine the lengths of the sides of the triangle.