Definition of obtuse triangle - What is it, Meaning and Concept

In the field of geometry , flat figures that are delimited by a certain number of segments are called polygons .If the polygon is composed of three segments (called sides), the figure is a triangle.

According to its specific characteristics, a triangle can be classified in different ways.The obtuse angle triangle is one who has an obtuse angle : that is, that measures more than 90 ° .Of the three interior angles of the obtuse angle, therefore, one is obtuse, while the other two are acute (less than 90 °).

The obtuse triangles are also oblique triangles since none of their internal angles are straight.The acutangle triangles , which have three acute angles, enter this same qualification.If the triangle has a right angle, instead, it is qualified as right triangle (and is not obtuse, acutangle or oblique).

It is important to keep in mind that obtuse angles can also be included in other sets according to the characteristics of their sides.The obtuse triangle that has two sides that measure the same and a different third side is an isosceles triangle .If the obtuse triangle has three different sides , all with different measures, is a scalene triangle .

As you can see, the same triangle can be classified in more ways than one, according to the criteria is centered on its angles or its sides .A triangle, in this way, can also be isosceles or scalene in addition to obtuse and oblique angle, since the first two classifications depend on the sides and the other two, on the angles.

Triangles are apparently very simple figures, the least complex of all if you want, but hide a large number of concepts and applications that are more than useful to solve a lot of mathematical and physical problems In the first place, we should not think of the triangle as a body that only serves if we know all its sides and angles: many times, it is through thinking in this way and taking advantage of some of the numerous equations that have associated that we can find a solution to a problem that seems little to be related to geometry.

That said, let's consider that to find an obtuse angle, there are minimally two paths, one at each end: draw it; deducing its presence through the equations that relate its sides to its angles.The first case is not exactly challenging, or at least not for science: we take a pencil, draw three lines connected to each other and , ready.On the other hand, to warn that we are facing a triangle when its existence is not evident can take us out of more than one dead end.

Consider a situation in which we need to know the relative position that a point would have if it passed from one plane to another, parallel to the first; more specifically, the position that an object of the three-dimensional universe would have if it passed to the two-dimensional from which it is observed.This may be necessary when developing a video game in which you need to use a two-dimensional graphic as you look, always on screen, and make it react every time it passes "over" certain three-dimensional objects, since the screen is measured in pixels, while the 3d universe uses arbitrary units .

Well, since the camera that films the scene has a certain field of vision (a vertical angle and a horizontal angle, which form an imaginary pyramid, outside of which does not show any object), we can use these angles along with the distance between the camera and each three-dimensional object (which we will become the largest leg of a triangle) to solve the problem.Before continuing, we must understand that These fields of vision draw two triangles of different kinds (if an angle is greater than 90 °, we will be before an obtuse angle), but when cut into two, we will get four straight.

Having done this, we must simply apply the relevant equations to find out the remaining leg (once for the angle vertical and once for the horizontal, which now measure half), and duplicate them to know the dimensions of the space in which the object is located; finally, we move its position to the screen by relating these dimensions to the resolution in pixels.