Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

The perpendicular bisectors of triangle ABC intersect at point G and are shown in blue. Find BG

The Perpendicular Bisectors Of Triangle ABC Intersect At Point G And Are Shown In Blue Find BG class=

Sagot :

Answer:

9

Explanation:

A perpendicular bisector of a triangle is a line that is perpendicular to the side and passes through the midpoint of the triangle.

So when three perpendicular bisectors of the sides of a triangle meet at a point in a triangle, that point is called a circumcenter.

From the circumcenter theorem, we know that the circumcenter is equidistant from the vertices of a triangle, that is, the circumcenter is the same distance from each of the vertices of the triangle.

Looking at the given triangle, we can see that G is the circumcenter of the triangle because all the perpendicular bisectors DG, EG, and FG meet at this point.

We can see that AG is 9 which is the distance from vertex A to the circumcenter, G, since the circumcenter is equidistant from the vertices of a triangle according to the circumcenter theorem, therefore, BG will also be 9.

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.