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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 . CF=8 centimeters and FG=6 centimeters. What is BG ? Enter your answer in the class=

Answer :

Rawknowledge24
10 cm is your answer 100% sure good luck
fichoh

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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