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Andrej [43]
2 years ago
8

What is the circumcenter of a triangle with the coordinates of (-3,3) (-3,-2) (1,-2)

Mathematics
1 answer:
antoniya [11.8K]2 years ago
7 0

Answer:

We know that the circumcenter of a right triangle is at the center of the hypotenuse.

Thus, the circumcenter of a triangle is: C(-1, 1/2)

Please check the attached figure.

Step-by-step explanation:

Given the triangle with the coordinates of the vertices

  • (-3, 3)
  • (-3, -2)
  • (1, -2)

First plot the points on the graph, as shown in the attached diagram.

It is clear from the attached diagram that it forms a right triangle.

  • We know that the circumcenter of a right triangle is at the center of the hypotenuse.

From the attached diagram, it is clear that the center of the hypotenuse lies on C(-1, 1/2).

Thus, the circumcenter of a triangle is: C(-1, 1/2)

Please check the attached figure.

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