2016-07-24T09:23:58ZFluxBBhttp://www.mathisfunforum.com/viewtopic.php?id=23249Thanks Thickhead for nice explanation]]>http://www.mathisfunforum.com/profile.php?id=1956022016-07-24T09:23:58Zhttp://www.mathisfunforum.com/viewtopic.php?pid=385496#p385496the 3 outcenters (as compared to in centers) are (50,-5) (5,10)(15,30) incenter is (10,15) for (50,-5) The triangle ABC will have vertices A(5,10) B(10,15) C(15,30) the angles are by using wolfram alpha widgets. Others I have not tried.It is surprising that when I have chosen one from the first line as orthocenter the other 3 have become vertices.]]>http://www.mathisfunforum.com/profile.php?id=2124862016-07-22T14:57:11Zhttp://www.mathisfunforum.com/viewtopic.php?pid=385393#p385393If we join L,M and N the feet of perpendiculars from A,B,c to opposite sides to form a triangle it is known that the in center of this triangle is the ortho center of ABC. This only applies to acute angle triangle ABC. If ABC is obtuse then the orthocenter of ABC lies outside LMN but a circle can be drawn from ortocenter touching one side of LMN and the other two extended sides. Thus there will be 3 configurations for obtuse angled triangle.]]>http://www.mathisfunforum.com/profile.php?id=2124862016-07-22T10:38:29Zhttp://www.mathisfunforum.com/viewtopic.php?pid=385374#p385374Yes Thickhead, Yould you like to explain me , Thanks]]>http://www.mathisfunforum.com/profile.php?id=1956022016-07-22T08:13:45Zhttp://www.mathisfunforum.com/viewtopic.php?pid=385372#p385372]]>http://www.mathisfunforum.com/profile.php?id=2124862016-07-21T12:27:48Zhttp://www.mathisfunforum.com/viewtopic.php?pid=385318#p385318The number of triangle which are obtuse and points are the feet of
perpendiculars drawn from vertices on the opposite sides is