Find the coordinates of the circumcenter for ∆def with coordinates d(1,3) e (8,3) and f(1,-5). show your work.

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 .

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step-by-step explanation: