Question

The coordinates of the vertices of a triangle are (1, 8) , (9, 8) , and (9, −2) . What are the coordinates of the circumcenter of the triangle? Enter your answer in the boxes.

Answer 1

(5, 3)

Explanation:

The given coordinates define a right triangle with (9, 8) as the vertex where the right angle is located. Then the other two coordinates define a diameter of the circumcircle. Its midpoint is the center.

... center = ((1, 8) +(9, -2))/2 = (5, 3)