## What Does obtuse triangle Mean

In the field of geometry , plane figures that are delimited by a certain number of segments are called polygons . If the polygon is made up of three segments (called sides), the shape is a triangle .

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

Obtuse triangles are also oblique triangles since none of their interior angles are right. The acute triangles , which have three acute angles, enter the same rating. If the triangle has a right angle, on the other hand, it is classified as a right triangle (and it is not obtuse, acute or oblique).

It is important to note that obtuse triangles can also be included in other sets depending on the characteristics of their sides. The obtuse triangle that has two sides that measure the same and a third side that is different is an isosceles triangle . If the obtuse triangle has three different sides, all with different measurements, it is a scalene triangle .

As you may notice, the same triangle can be classified in more than one way, according to the criterion is centered on their angles or on their sides . A triangle, in this way, can also be isosceles or scalene in addition to obtuse and oblique, 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 will, but they hide a large number of concepts and applications that are more than useful to solve endless mathematical and physical problems. In the first place, we should not think of the triangle as a body that only works 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 associated with it that we can find a solution. to a problem that seems little to be related to geometry.

Having said this, let us consider that to find an obtuse triangle there are at least two paths, one at each end: draw it; deducing its presence by means of 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, we draw three lines connected to each other and, voila. On the other hand, realizing that we are in front of a triangle when its existence is not evident can lead us out of more than one impasse.

Let's 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 in the three-dimensional universe would have if it were to move to the two-dimensional one 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 a look, always on the 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 filming the scene has a certain field of view (a vertical and a horizontal angle, which form an imaginary pyramid, outside of which no object is shown), we can use these angles together with the distance between the camera and each three-dimensional object (which we will turn into the longest leg of a triangle) to solve the problem. Before continuing, we must understand that these fields of vision draw two triangles of different classes (if an angle is greater than 90 °, we will be facing an obtuse triangle), but when cutting them in two, we will obtain four straight lines.

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