The answer is that CG is equal to 13cm. As given that DG, EG, and FG are perpendicular bisectors of the sides of triangle ABC and it shows that G is the point of intersection and also it is the circumcenter of the triangle, So; AG = BG = CG By Pythagorean theorem BG² = DG² + BD²BG² And DG = 5cm and BD = 12cm So, BG = √(DG² + BD²) = √(5² + 12²) = √(25 + 144) = √169 = 13 BG = 13 = AG = CG Thus, CG = 13cm