side lengths
If a triangle is obtuse, the orthocenter of the triangle actually lies outside of the triangle. If the triangle is acute, the orthocenter of the triangle lies on the inside of the triangle
A triangle can be constructed into any of the given formats.
If a triangle has a right angle, it is a right triangle.
An obtuse angled triangle.
You look at the lengths of the sided of the triangle. If the two lengths are same, the triangle is an isosceles triangle. If all the lengths are same, the triangle is an equilateral triangle. If none of the lengths are same, the triangle is a scalene triangle.
I'm pretty sure it refers to the fact that a triangle, when in two dimensions, can't collapse. That is, there's no way to change the actual shape of a triangle (other than rotating or moving it) without changing the lengths of the sides.http://i.imgur.com/pfd14.png (see related links below for a clickable link)Look at the image at the above link. Notice how when the square collapses into a parallelogram, the sides still stay the same lengths, but the angles change. That's not possible with a triangle-if the angles change, so do the lengths of the sides. Therefore, a triangle is rigid.(To help visualize this better, picture yourself holding a square frame with hinges at the corners, so it can be bent. It would be easy to bend it into a parallelogram. However, picture the same, only with a triangle. It can't be done.
No. On the lines to rigidity basis, a triangle is.
The rigidity of the triangle derives from the fact that you cannot change any angle in a triangle without also changing the length of at least one side; in any other type of polygon, it is possible to alter the angles of the polygon without changing the lengths of the sides. So if you have a physical object in the form of a triangle, the sides are not going to change their length unless you break them. Other shapes can fold up, but triangles won't.
any triangle is a triangle
Triangles are the most "rigid" shape in geometry. A possible definition might be: Something that does not move Something that is "fixed" at its joints. Triangulation of material adds strength by reducing lateral movement. The triangle holds up very well to forces from many directions. The shape of the triangle can either consolidate force to one point or split a force over the base of the triangle.
If a triangle is obtuse, the orthocenter of the triangle actually lies outside of the triangle. If the triangle is acute, the orthocenter of the triangle lies on the inside of the triangle
Yes, a scalene triangle can be a triangle.
A triangle can be constructed into any of the given formats.
acute angled triangle,right angled triangle,obtuse angled triangle,isosceles triangle,equilateral triangle, scalene triangle
A scalene triangle, an equilateral triangle, an isosceles triangle and a right-angle triangle, acute-angled triangle, obtuse-angled triangle
a triangle in a triangle
A triangle.