SOLUTION: Draw a triangle and label it ABC. Draw the perpendicular bisectors of the sides AB and BC and call their point of intersection ఓ. Use your diagram to prove that it is possible to

Question 1205530: Draw a triangle and label it ABC. Draw the perpendicular bisectors of the sides AB and BC and call their point of intersection ఓ. Use your diagram to prove that it is possible to draw a circle through the vertices of any triangle. (You may wish to draw other diagrams to cover all possible cases
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Draw a triangle and label it ABC. Draw the perpendicular bisectors of the sides AB and BC and call their point of intersection ఓ. Use your diagram to prove that it is possible to draw a circle through the vertices of any triangle. (You may wish to draw other diagrams to cover all possible cases
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Any 3 non-colinear points can be the vertices of a triangle.
Any 3 non-colinear points define a circle.
Answer by ikleyn(52903)   (Show Source): You can put this solution on YOUR website!
.

For the proof of this statement, see the lesson
    - Perpendicular bisectors of a triangle sides are concurrent
in this site.

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