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