A polygon is a plane figure bounded by line segments. Among the different kinds of polygons are triangles: polygons made up of three segments (sides).
If we focus on triangles, instead, we can find different types of shapes. In the case of scalene triangles, they are those that have three sides of different lengths. In other words: all three sides are different. This particularity differentiates scalene triangles from equilateral ones (the three sides measure the same) and from isosceles triangles (they have two equal sides). Scalene triangles, on the other hand, have three interior angles that are also different.
Suppose a triangle has a side of 62 centimeters, a side of 42 centimeters, and a side of 51 centimeters. Since the three sides have different lengths, it is a scalene triangle. In the same way, as expressed about the angles, if a triangle has interior angles that measure 67º, 42º and 110º, it will also be classified as a scalene triangle. It is important to mention that, depending on the measure of their angles, scalene triangles can be right angles (they have a right angle), obtuse angles (they have an obtuse angle) or acute angles (all their angles are acute). Other important facts that are worth knowing about the scalene triangle that now interests us are the following:
-To calculate the area of a geometric shape of this type we have to do it from the one known as Heron’s formula or other formulas depending on the data you have. Specifically, perhaps the most widely used option is the one that says that the area of this scalene triangle is the one calculated by multiplying the base by the height and dividing the result by the number 2. That is, a = b. h/2.
– As for its perimeter, it must be said that it is calculated simply by adding the measurements of each of its three sides. This assumes that the perimeter is equal to a + b + c. In the subject of Mathematics that is taught in schools, students not only learn to calculate this value, but also to draw a scalene triangle with a ruler and compass.
-Furthermore, a triangle like the one at hand is considered a convex polygon.
-A singularity that manifests itself around triangles in general and specifically the scalene in question is that they are considered one of the most resistant geometric figures that exist. For this reason, it is established that they are preferred by many builders and architects when it comes to placing any building, more specifically what the structures of that building would be.
It should be noted that the term scalene is also used in geometry with reference to scalene trapezoids, which, like triangles of this type, have all their sides with different measures.
