Find the circumcenter of a triangle with vertices o(0, 0), v(0, 26), and w(−10,0).

Circumcenter is .

Step-by-step explanation:

Given:

The three vertices of triangle OVW are .

Circumcenter is a point inside the triangle which is equidistant from each of the vertices of the triangle.

Let be the circumcenter.

Distance between two points and  is given as:

So, as per the definition of circumcenter, distance of point from point is equal to distance of point from point .

So, OC = VC

or

.

Similarly, distance of point from point is equal to distance of point from point .

or

.

Therefore, the circumcenter of the triangle with the given vertices is .

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