What is the circumcenter of the triangle with | vedclass

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(C) The given vertices are $(0, 0)$,$(3, 0)$,and $(0, 4)$.Since the vertices lie on the coordinate axes,this is a right-angled triangle with the right

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$(3/2, 2)$

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(C) The given vertices are $(0, 0)$,$(3, 0)$,and $(0, 4)$.Since the vertices lie on the coordinate axes,this is a right-angled triangle with the right angle at the origin $(0, 0)$.For a right-angled triangle,the circumcenter is the midpoint of the hypotenuse.The hypotenuse connects the points $(3, 0)$ and $(0, 4)$.The midpoint is given by $\left( \frac{3+0}{2}, \frac{0+4}{2} \right) = \left( \frac{3}{2}, 2 \right)$.

What is the circumcenter of the triangle with vertices $(0, 0)$,$(3, 0)$,and $(0, 4)$?

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