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

Answer:

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

Step-by-step 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:

$x_A=\dfrac{9+0}{2}=4.5\\ \\y_A=\dfrac{0+(-6)}{2}=-3$

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