How about the circumcenter?
Consider a right triangle such that the slopes of 2 of the three sides of the triangle are 2 and 4. Given that the slope of the straight line that passes through the orthocenter and the center of the nine point circle of this triangle is an integer , find this integer.
The answer is 38.
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1 solution
[https://en.wikipedia.org/wiki/Euler line#cite note-BHS-8)Euler Line