Topic: orthocenter list of topics
start over

5 items are filed under this topic.

		Page 1/1

	A cyclic quadrilateral		2014-03-28
		From Carly: Suppose ABCD is a cyclic quadrilateral, i.e A, B, C, and D are the points on a circle, given in order going around the circle. Show that if we join each of A, B, C, and D to the orthocentre of the triangle formed by the other three, then the resulting line segments all intersect in a common midpoint. Thank you. Answered by Chris Fisher.
	The circumcentre and orthocentre of a triangle		2012-04-25
		From Nazrul: The circumcentre and orthocentre of a triangle is given. A point on a side of the triangle given. A vertex of the triangle on the circumcircle is also given. How can I draw the triangle? Please Help me. Thank you for answering my previous questions. Answered by Chris Fisher.
	The orthcentre and the circumcentre		2007-04-05
		From Ruby: I have tried to do this question so many times, could you please, please, please show me how to do it. I just can't get the answer: What is the (i)Circumcentre and (ii)Orthocentre of the triangle with vertices a(-2,2) b(2,-6) c(5,3)? It would be so great if you could show me how to do this. Thanks in advance, Ruby. Answered by Penny Nom.
	The orthocentre		2002-10-17
		From Elsie: Find the orthocentre of the triangle with vertices at A(-3,4), B(10, -3) and C(3,-2). Find the distance of point X(3,8) from the line that passes through Y(-2, -2) and Z (3, -2). Answered by Chris Fisher.
	A geometry proof		2001-04-18
		From Melissa: Extend the bisectors of angle A, angle B, and angle C of triangle ABC to meet the circumcircle at points X, Y, and Z respectively. Show that I is the orthocenter of triangle XYZ. Answered by Chris Fisher.

		Page 1/1