Question

Draw the altitudes of an obtuse angle triangle. Where does its orthocenter lie?

Answer 1

Draw an obtuse angled triangle with $\angle B>90°$.
Extending side BC backwards and side AB downwards, draw $AD\perp BC,BE\perp AC\mathrm{and}CF\perp AB$.
We observe that all the altitudes meet at O, in the exterior region of the triangle.