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3241004551 [841]
3 years ago
12

DG , EG , and FG are perpendicular bisectors of the sides of △ABC . DG= 5 cm and BD= 12 cm.

Mathematics
1 answer:
weqwewe [10]3 years ago
6 0
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
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