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DG¯¯¯¯¯¯ , EG¯¯¯¯¯ , and FG¯¯¯¯¯ are perpendicular bisectors of the sides of △ABC . CF=8 centimeters and FG=6 centimeters. What is BG ? Enter your answer in the box.

DG EG and FG are perpendicular bisectors of the sides of ABC CF8 centimeters and FG6 centimeters What is BG Enter your answer in the box class=

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Rawknowledge24
10 cm is your answer 100% sure good luck
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Using the perpendicular bisector theorem and Pythagoras rule, the length of line BG is 10 cm

The point G is the circumcenter, which is the intersection point of the three perpendicular bisectors.

The distances AG = BG = CG (the distances are equidistant from the point G)

Given that :

  • CF = 8 cm & FG = 6 cm

We can obtain CG ;

Using Pythagoras since the triangle is right angled;

CG² = CF² + FG²

CG² = 8² + 6²

CG² = 100

CG = √100

CG = 10 cm

Since CG = BG ;

BG = 10 cm

Therefore, BG is 10 cm.

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