The Euler 9 Point Circle: Solving the Mystery of its Triangle Compatibility

[geometry]

[SOLVED] Euler 9 point circle

I'm doing a project on the nine point circle and i need to know what type of triangle it works with. I tried constructing it but it didn't work with an isoscoles or a obtuse triangle, but a website said it works with all triangles, can anyone help?

 

[lethe]

it works with any triangle.

what happened when you tried to construct it with an isosceles triangle? it should have worked, why didn t it?

 

[geometry]

It does work with an isosceles triangle but not with an obtuse because the altitude is outside of the triangle. I'm trying to find a good website that explains it's history and what it's used for today.