Find the coordinates of the circumcenter

S(- 1/2, - 3/2)

Step-by-step explanation:

Given data:

Right triangle with next coordinates A(-4,1), B(3,-4) and C(-4,-4)

In this case we have right triangle and we know that the circumcenter  lies exactly at the midpoint of the hypotenuse. The only thing we need to do is to find the coordinates of the hypotenuse center.

Let's marked center (circumcenter) S (Xs, Ys)

Xs = (Xa + Xb) / 2 = (-4 + 3) / 2 = - 1/2

Ys = (Ya + Yb) / 2 = (1 + (-4)) / 2 = - 3/2

Finally     S (- 1/2, - 3/2)

God with you!!!

answer are

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