Does the orthocenter have to be inside the triangle?
2006-11-13 13:46:27 · 3 answers · asked by ... 1 in Science & Mathematics ➔ Mathematics
No. If the triangle is acute, the orthocenter will be inside. When the triangle is right, the orthocenter is the vertex of the triangle at the right angle. When an obtuse triangle is constructed and the altitudes are drawn, the intersection of the altitudes is outside of the triangle
2006-11-13 13:54:38 · answer #1 · answered by jenh42002 7 · 1⤊ 0⤋
Hi it is not a must that the orthocenter be inside the triangle
2006-11-13 21:51:32 · answer #2 · answered by mane 5 · 2⤊ 0⤋
do you need to prove this?
the answer is YES.
but if you need to prove it: start by assuming the answer is NO and find a contradiction to some postulate or theorem.
http://mathworld.wolfram.com/Orthocenter.html
2006-11-13 21:50:21 · answer #3 · answered by gggjoob 5 · 0⤊ 1⤋