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The perpendicular bisectors of ∆ABC meet at point G. Find BG.


pls answwer please

The perpendicular bisectors of ∆ABC meet at point G. Find BG. pls answwer please-example-1
User LEQADA
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2.9k points

3 Answers

17 votes
17 votes

Final answer:

To find BG, follow the steps: draw the perpendicular bisectors of any two sides of triangle ABC, find the intersection point, and measure the distance between point B and G.

Step-by-step explanation:

To find BG, we need to understand the concept of perpendicular bisectors. A perpendicular bisector is a line that cuts a segment into two equal halves and is perpendicular to that segment. In a triangle, the perpendicular bisectors of the sides meet at a point called the circumcenter, denoted as G. So, BG is the distance between point B and the circumcenter G.

To find BG, you can follow these steps:

  1. Draw the perpendicular bisectors of any two sides of triangle ABC.
  2. The point where the two perpendicular bisectors intersect is the circumcenter G.
  3. Measure the distance between point B and G to find BG.

User Pollux
by
3.1k points
10 votes
10 votes

Final answer:

To find BG, follow the steps: draw the perpendicular bisectors of any two sides of triangle ABC, find the intersection point, and measure the distance between point B and G.

Step-by-step explanation:

To find BG, we need to understand the concept of perpendicular bisectors. A perpendicular bisector is a line that cuts a segment into two equal halves and is perpendicular to that segment. In a triangle, the perpendicular bisectors of the sides meet at a point called the circumcenter, denoted as G. So, BG is the distance between point B and the circumcenter G.

To find BG, you can follow these steps:

  1. Draw the perpendicular bisectors of any two sides of triangle ABC.
  2. The point where the two perpendicular bisectors intersect is the circumcenter G.
  3. Measure the distance between point B and G to find BG.

13 votes
13 votes

Answer:

BG = 9

Step-by-step explanation:

Point G is the circumcentre and is equally distant from the triangles three vertices , then

BG = AG = 9

User Rok Krulec
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3.0k points