Can the altitude of a triangle fall outside of the triangle?

Question

?

Answer 1

Yes. In an obtuse triangle (one in which one angle is obtuse, meaning larger than 90 degrees), two of the altitudes (those drawn from the angles that are not obtuse) will fall outside of the triangle. In a right triangle, the two legs of the triangle are also altitudes.

Answer 2

Sure can. Think of a triangle with a really obtuse angle (bigger than 90 degrees), and two smaller angles (around 20 degrees, say). If you rotate the triangle around so that the longest side is on top, then the altitude will be outside the triangle. Here's a website with a picture to give you a visual of what I'm saying:

http://www.mathwords.com/a/altitude_triangle.htm

Answer 3

Yes, if the triangle is obtuse (greater than 90*) than the altitude may fall outside the triangle.

Answer 4

yes in obtuse angled triangle altitude falls outside the triangle.

Answer 5

Yes

Draw a triangle with a short base and the intersection of the other two sides to the right or left of the corresponding end point of the base

Answer 6

Yes, consider a triangle with two very long sides and one very short, all different.

Answer 7

I would think yes, but I never made it past Algebra II.