Answer:
[tex](\frac{1}{2}, - \frac{1}{2} )[/tex]
Step-by-step explanation:
The properties of circumcenter give that it lies at the midpoint of the hypotenuse if it is of a right triangle.
Now, the given triangle is a right triangle and the two ends of the hypotenuse WU are U(-3,2) and W(4,-3).
Therefore, the mid point of the hypotenuse WU will be given by [tex](\frac{-3 + 4}{2}, \frac{2 - 3}{2}) = (\frac{1}{2}, - \frac{1}{2} )[/tex].
Therefore, the circumcenter of the right triangle Δ UVW will be [tex](\frac{1}{2}, - \frac{1}{2} )[/tex]. (Answer)
