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Answer: The coordinates of the circumcenter is .
Explanation:
The coordinates of triangle DEF are D(1,3) E (8,3) and F(1,-5).
Distance formula,
Since triangle follows pythagoras theorem,
Therefore the given triangle is a right angle triangle.
Or plot these points on a coordinate plane. From the figure we can say that the triangle DEF is a right angle triangle.
The circumcenter of a right angle triangle is the midpoint of the hypotenuse.
The hypotenuse is EF. The midpoint of EF is,
Therefore, the coordinates of the circumcenter is .
