Question

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Answer 1

Answer:

$(\frac{1}{2}, - \frac{1}{2} )$

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 $(\frac{-3 + 4}{2}, \frac{2 - 3}{2}) = (\frac{1}{2}, - \frac{1}{2} )$.

Therefore, the circumcenter of the right triangle Δ UVW will be $(\frac{1}{2}, - \frac{1}{2} )$. (Answer)