Question

What are the coordinates of the circumcenter of this triangle?

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Answer 1

(3,2)

Step by step explanation:

Please find the attachment.

Since we know that circumcenter of a right triangle lies exactly at the midpoint of hypotenuse.

Now we will draw a perpendicular bisector of line AB and by similar triangles bisector of AB will also bisect our hypotenuse into two equal parts.

Now we will draw a perpendicular bisector from 2 as 2 is the mid point of AB. Upon drawing a perpendicular bisector we can see that it bisect our hypotenuse at point (3,2).

Therefore,circumcenter of our right triangle will be on point (3,2).