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I need help I don't understand this? DG¯¯¯¯¯¯ , EG¯¯¯¯¯ , and FG¯¯¯¯¯ are perpendicular bisectors of the sides of △ABC . DG=5 cm and BD=12 cm. What is CG ? Enter your answer in the box. cm
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I need help I don't understand this?

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

What is CG ?

Enter your answer in the box.

cm

I need help I don't understand this? DG¯¯¯¯¯¯ , EG¯¯¯¯¯ , and FG¯¯¯¯¯ are perpendicular-example-1
User Flamelite
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8.3k points

1 Answer

3 votes
If DG, EG and FG are perpendicular bisectors than: AG = BG = CG.By Pythagorean theorem:
BG² = DG² + BD²BG² = 5² + 12²BG² = 25 + 144 = 169BG = √169 = 13 = CG
Answer: CG = 13 cm.

User Wilcroft
by
8.7k points
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