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Answer:
<em>C. (7, 0)</em>
Step-by-step explanation:
<u>Circumcenter of a Triangle</u>
The circumcenter is a point where all the tangent lines of the midpoints of the three sides meet.
The coordinates of the vertices of the pool are (3, 3), (11, 3), and (3, −3). Please refer to the image below where the three midpoints are also shown. Since the triangle is right and two of its sides are parallel to the x-axis and the y-axis, the coordinates of the midpoints are very easy to find
Midpoint of (3, 3), (11, 3)=([3+11]/2,[3+3]/2)=(7,3)
Midpoint of (3,3), (3,-3) =([3+3]/2,[3-3]/2)=(3,0)
The intersection of both lines (shown in red) is the point (7,0) which is also the midpoint of (3,-3), (11,3). Thus this point is where all the midpoints meet.
Answer: C. (7, 0)
