Question

Find the circumcenter of triangle TVO with vertices T(9,0), V(0,-6), and 0 (0,0).

The circumcenter is located at
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Answer 1

The circumcenter is located at point A(4.5,-3)

Explanation:

Plot points T(9,0), V(0,-6), and 0 (0,0) on the coordinate plane. You get the right triangle TVO with hypotenuse TV.

The circumcenter of the right triangle is the midpoint of the hypotenuse.

Find the midpoint of the hypotenuse:

`x_A=(9+0)/(2)=4.5\\ \\y_A=(0+(-6))/(2)=-3`

Hence, the circumcenter is located at point A(4.5,-3)